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Paper Citation Record · LEDGER

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator

As of 24 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 3 inbound Pith citation observations for arXiv:2504.15968.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.15968 v2

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:28:53.457761Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T13:18:22.261949Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T23:44:02.987553Z

Reference resolution

56 of 56 outbound references displayed

  • verified exact1
  • verified fuzzy50
  • unresolved5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a479f475-3214-430b-8731-eb6d142ec6b9 · outbound

This paper cites The asymptotic behavior of Palais-Smal e sequences on manifolds with bound- ary.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator The asymptotic behavior of Palais-Smal e sequences on manifolds with bound- ary

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation c71b3824-9f5b-43f4-bebf-2efb170012ee · outbound

This paper cites an unresolved cited work.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ffb81d90-14bf-40b3-b1c2-fa095b58c965 · outbound

This paper cites an unresolved cited work.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 539f846b-a534-43cb-8481-7bb994508b28 · outbound

This paper cites Problèmes isopérimétriques et espaces d e Sobolev.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Problèmes isopérimétriques et espaces d e Sobolev

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation b855e4b5-b6d8-4c96-8d03-f8b966dd6597 · outbound

This paper cites On a nonlinear ellipt ic equation involving the criti- cal Sobolev exponent: the effect of the topology of the domain.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator On a nonlinear ellipt ic equation involving the criti- cal Sobolev exponent: the effect of the topology of the domain

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 2c292881-65bb-4bdc-9a18-56fb2469c3c3 · outbound

This paper cites Ma rano, and Kanishka Perera.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Ma rano, and Kanishka Perera

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 32bfd389-d094-43f5-a44b-317f5943c280 · outbound

This paper cites Fractional Hardy-Sobolev equa- tions with nonhomogeneous terms.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Fractional Hardy-Sobolev equa- tions with nonhomogeneous terms

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f360f45b-45da-4c2d-a2b3-f250799399f5 · outbound

This paper cites A Brezis-Nirenberg type result for mixed local and nonlocal operators.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A Brezis-Nirenberg type result for mixed local and nonlocal operators

Reference 8

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no resolver link, observed 2026-08-16T11:28:53.224098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c67d1dd0-1ca9-489c-b614-9514e7a9b73e · outbound

This paper cites Global c ompactness results for nonlocal problems.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Global c ompactness results for nonlocal problems

Reference 9

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 3fd6cdd9-b8c0-4d26-a3f1-f73e56c9d1d9 · outbound

This paper cites Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents

Reference 10

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unresolved
no resolver link, observed 2026-08-16T11:28:53.234225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:28:53.234225Z digest=sha256:404d5898d6d3e654d6648e76037cb0ab84d4fbefdf3fbbbc67c860b2e87e1276

Observation e60f7b4f-59cd-4fd0-a2ec-08177b92763c · outbound

This paper cites A global compactness res ult for singular elliptic problems involving critical Sobolev exponent.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A global compactness res ult for singular elliptic problems involving critical Sobolev exponent

Reference 11

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 94f18235-7405-4a02-ae47-d02893fc5c89 · outbound

This paper cites A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation fabd5bb2-d92b-4d4a-abff-3ec8d7565a16 · outbound

This paper cites Entire nodal solution s to the pure critical exponent problem for the p-Laplacian.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Entire nodal solution s to the pure critical exponent problem for the p-Laplacian

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 31e0a495-7390-4a6e-85c5-c118deb92ad0 · outbound

This paper cites Multiple solutions for th e Brezis-Nirenberg problem.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Multiple solutions for th e Brezis-Nirenberg problem

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 742371c0-87b2-4e42-8f59-6af9215585ef · outbound

This paper cites Topologie et cas limite des injecti ons de Sobolev.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Topologie et cas limite des injecti ons de Sobolev

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.259563Z digest=sha256:aeb1f39747a20faa973d987c0bd1aafcf4e86d25e9d95d5b39168318ca3bf314

Observation bbd24d7f-d433-44cc-a4e0-16a6e9b4d501 · outbound

This paper cites A note on an equation with critica l exponent.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A note on an equation with critica l exponent

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 77d36e9e-7d8e-4cf5-9614-2c3ca9850eba · outbound

This paper cites Concentrat ion estimates and multiple solutions to elliptic problems at critical growth.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Concentrat ion estimates and multiple solutions to elliptic problems at critical growth

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 0fb1ade9-caf2-4ac6-b073-ca9341f58bd1 · outbound

This paper cites Positive solutions of ∆ u + u(n+2)/(n− 2) = 0 on contractible domains.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Positive solutions of ∆ u + u(n+2)/(n− 2) = 0 on contractible domains

Reference 18

Resolution
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raw_fallback, observed 2026-08-16T11:28:54.243229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 62aa94d3-a900-45f2-9583-99b75c38b3c2 · outbound

This paper cites Sharp Sobolev asy mptotics for critical anisotropic equations.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Sharp Sobolev asy mptotics for critical anisotropic equations

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-16T11:28:54.226013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 2b824b94-22ef-485f-b30a-0dda6977ec25 · outbound

This paper cites On a p-Laplace equation with multiple critical nonlinearities.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator On a p-Laplace equation with multiple critical nonlinearities

Reference 20

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raw_fallback, observed 2026-08-16T11:28:54.210745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 69b1c080-1a47-4392-80d9-4e7f84ad03cf · outbound

This paper cites Bifurcation and multiplicity results for critical nonlocal fractional Laplacian proble ms.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Bifurcation and multiplicity results for critical nonlocal fractional Laplacian proble ms

Reference 21

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raw_fallback, observed 2026-08-16T11:28:54.195034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 3d2dec0d-f251-41a1-ba8c-4b7cb75ccc68 · outbound

This paper cites An elliptic equation w ith combined critical Sobolev-Hardy terms.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator An elliptic equation w ith combined critical Sobolev-Hardy terms

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:54.180065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f0045c1b-10e0-4291-bb70-eb900548ceb8 · outbound

This paper cites Garain and J.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Garain and J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:54.164301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation d3e6da73-9c22-408c-895a-d2e6654000b2 · outbound

This paper cites Description du défaut de compacité de l ’injection de Sobolev.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Description du défaut de compacité de l ’injection de Sobolev

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:54.149603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.303387Z digest=sha256:ad7bf48e8404fd7c2bc5f2e18f1c069064342a3120d3a96b953042832b2e17c0

Observation 2471b0ab-079a-4b8d-a872-300fb6e8839c · outbound

This paper cites Globa l compactness results for singular quasilinear elliptic problems with critical Sobolev expon ents and applications.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Globa l compactness results for singular quasilinear elliptic problems with critical Sobolev expon ents and applications

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:54.135427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.308191Z digest=sha256:79799a1bacda58d868aacff3475317021b4a41663766ed547c0fb04c7f8daf2d

Observation 5109c4e9-dcb8-4e07-a417-6b2dd44291bd · outbound

This paper cites Coercivity and Str uwe’s compactness for Paneitz type operators with constant coefficients.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Coercivity and Str uwe’s compactness for Paneitz type operators with constant coefficients

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:54.120376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.312932Z digest=sha256:492e3644139719774d211b9345fd716c95fb70c961c4d1d4db3f9838c4b9d52b

Observation 7f632081-0bb2-480b-bb0c-4bccfc4a09dd · outbound

This paper cites Analysis of the lack of compactness in the critical Sobolev embeddings.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Analysis of the lack of compactness in the critical Sobolev embeddings

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:54.104037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.318701Z digest=sha256:0bf35c5965d59da840ee6d1b47b7382b03bb834665b8c1d2188d7b1ce72c3212

Observation 59c5d115-08c7-4c60-a0c0-c93031ec33ca · outbound

This paper cites A global compact result for a semilinear elliptic problem with Hardy potential and critical nonlinearities on RN.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A global compact result for a semilinear elliptic problem with Hardy potential and critical nonlinearities on RN

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.978173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.323780Z digest=sha256:e3d216be6a9ec8ea2bddae8a3da90facaf48d0f78c124a15385f4a8fa8df7fcb

Observation 8d870b9d-2ef2-41c3-a19e-dd429125b964 · outbound

This paper cites Coron’s problem for the critical Lane-Emden system.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Coron’s problem for the critical Lane-Emden system

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.962749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.328562Z digest=sha256:0a590c70f2ad3c227e1c28af4d9fbff49fdbc2a0a64abee6d7a98c886a9917b2

Observation 59ccd8b8-79d1-4d01-995c-4b00a5c9d274 · outbound

This paper cites On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy expon ents.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy expon ents

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.947668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.333293Z digest=sha256:84abfc267de808d607eb7211511f1767f1ac0773b1b40f2a71b6030f5c5b0d8a

Observation cffe6595-5f2e-4b0c-be89-3130978020c4 · outbound

This paper cites Existence of soluti ons for elliptic problems with critical Sobolev-Hardy exponents.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Existence of soluti ons for elliptic problems with critical Sobolev-Hardy exponents

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.931556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.337986Z digest=sha256:72f9de3b17246b805a4b83ec91396f6b815aa6680bb6aed45526fe3b59eda24c

Observation b8cef81a-b38f-4974-b3ae-9e36b2fef642 · outbound

This paper cites Rădulescu, and Binlin Zhang.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Rădulescu, and Binlin Zhang

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.916204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.342757Z digest=sha256:4fcb888fc4b44822bd3ea7ff49a731e0d5fed401ef1c28cd3675bb47bfdeee15

Observation 9888a7a4-e21c-4cf3-aa7c-27e0e23be9d9 · outbound

This paper cites A first course in fractional Sobolev spaces , volume 229 of Graduate Studies in Mathematics.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A first course in fractional Sobolev spaces , volume 229 of Graduate Studies in Mathematics

Reference 33

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source=pdf_text observed=2026-08-16T11:28:53.347770Z digest=sha256:fb4f29c99092bc7ea24d9b3998e89c536044c0784d2d30c516536346fb6dfbf9

Observation 0d0ffe51-115c-4c00-b134-dacdf7c18f58 · outbound

This paper cites Global co mpactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy te rms.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Global co mpactness results for quasilinear elliptic problems with combined critical Sobolev-Hardy te rms

Reference 34

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source=pdf_text observed=2026-08-16T11:28:53.352652Z digest=sha256:4140869accabdeb4c425bf5c803ac063d0936491c234bdd3edc82b3ce9887426

Observation b0cbe107-6268-425d-866b-c4f539b085a5 · outbound

This paper cites Struwe’s decomposition for a polyhar monic operator on a compact Riemann- ian manifold with or without boundary.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Struwe’s decomposition for a polyhar monic operator on a compact Riemann- ian manifold with or without boundary

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.869385Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.357708Z digest=sha256:25406935dee107964beda86aed93ebbe1c97cb4a588da70f0c2985947a162d98

Observation a48ce0c1-bc37-4f15-98e3-57a453e74d55 · outbound

This paper cites On Coron’s problem for the p- Laplacian.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator On Coron’s problem for the p- Laplacian

Reference 36

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source=pdf_text observed=2026-08-16T11:28:53.362432Z digest=sha256:ccb370e432364ecc692ab9798e078934090c53bb1de9e7b355a4c26e62e88495

Observation 3be5c17e-96d5-4197-9829-a0f846b49475 · outbound

This paper cites A global compactness r esult for the p-Laplacian involving critical nonlinearities.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A global compactness r esult for the p-Laplacian involving critical nonlinearities

Reference 37

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verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.837965Z

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source=pdf_text observed=2026-08-16T11:28:53.367152Z digest=sha256:b698e985201e143e47da3edf4546da77e84cab69240ff120a00d99f78f523e03

Observation 99e3f73e-6275-4124-be88-fe839954d6aa · outbound

This paper cites Improved Sob olev embeddings, profile decomposi- tion, and concentration-compactness for fractional Sobol ev spaces.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Improved Sob olev embeddings, profile decomposi- tion, and concentration-compactness for fractional Sobol ev spaces

Reference 38

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raw_fallback, observed 2026-08-16T11:28:53.822345Z

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source=pdf_text observed=2026-08-16T11:28:53.371862Z digest=sha256:9fa5bd56dffa708ca217ebd5ade316a3f7a91e33e9328925fbde6cfd42819320

Observation d97e5735-5e5f-4004-ac11-fa703af2d2ac · outbound

This paper cites A global comp actness type result for Palais-Smale sequences in fractional Sobolev spaces.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A global comp actness type result for Palais-Smale sequences in fractional Sobolev spaces

Reference 39

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.806567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.377079Z digest=sha256:a20add87ab579cedd6e93df03210049029e8d9a107ef0a5b10bfa8c5b3884c0a

Observation 69e4ee82-7cb2-4a22-bea6-2e0dac09e8f1 · outbound

This paper cites Multiplicity of positive solutions o f nonlinear elliptic equations with critical Sobolev exponent in some contractible domains.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Multiplicity of positive solutions o f nonlinear elliptic equations with critical Sobolev exponent in some contractible domains

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.791567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.381805Z digest=sha256:f588a5956d9de5d2e295a2cdcd74de3e23c5946795d679fe436aa383dc276d76

Observation 2e7feac0-04b6-4772-af7e-32b67c85e22f · outbound

This paper cites Existence of s table standing waves for the critical fractional Schrödinger equation with an inhomoge neous combined nonlinearity.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Existence of s table standing waves for the critical fractional Schrödinger equation with an inhomoge neous combined nonlinearity

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.776554Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.386512Z digest=sha256:bd119ca5d760f13243dabbc6be2496c5c96493697c9511c8372624867cbc9640

Observation 29b3f4fe-ac87-4654-896a-3a1e967b1e24 · outbound

This paper cites Asymptotic estimates and blow-up th eory for critical equations involving the p-Laplacian.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Asymptotic estimates and blow-up th eory for critical equations involving the p-Laplacian

Reference 42

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.391241Z digest=sha256:2ac7a0baea3fa3e60470c7e3219ca00c6ee9df355059a491e88c244ad5744b35

Observation 604e2681-1404-4ca7-a319-104926d09819 · outbound

This paper cites Profile decomposit ion in Sobolev spaces of non-compact manifolds.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Profile decomposit ion in Sobolev spaces of non-compact manifolds

Reference 43

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.395808Z digest=sha256:7cb62fb54b0fb7f17b580f4a4b4f4a1ab98580e8e94341179233f52d778cb14c

Observation 9e21f826-2587-43ea-978b-f5f1df104b3f · outbound

This paper cites Coro n problem for fractional equations.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Coro n problem for fractional equations

Reference 44

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.400449Z digest=sha256:ff1cd3ef93282aceaa0ab52c6362be96d635e5aebd73b268959a7ca876668fc9

Observation 02b81f14-4fce-4f5d-a8b3-473ad42d5c83 · outbound

This paper cites The Brezis-Ni renberg result for the fractional Lapla- cian.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator The Brezis-Ni renberg result for the fractional Lapla- cian

Reference 45

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.712051Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.405304Z digest=sha256:8c0c186d9cd1f9191f9abe86e78f93c01c935a8e16929dee8da2bc697aa0ce03

Observation 8a43a00d-9d35-4ecf-a43a-79bd01331fa8 · outbound

This paper cites Nonlinear Schrödinger equations with Ha rdy potential and critical nonlinearities.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Nonlinear Schrödinger equations with Ha rdy potential and critical nonlinearities

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:28:53.695829Z

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source=pdf_text observed=2026-08-16T11:28:53.410008Z digest=sha256:4f833fe12163333465245b0c35670dab456ec525e7ebd34f908678ae1411fe85

Observation 7fdb96eb-b4ef-42df-a6e0-57b835a30947 · outbound

This paper cites A global compactness result for ellipt ic boundary value problems involving limiting nonlinearities.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A global compactness result for ellipt ic boundary value problems involving limiting nonlinearities

Reference 47

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.679272Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.414743Z digest=sha256:655a9f1741c44046d40545ddd54365a41ab7ff11ba11e0789f138a0ab68b91b3

Observation d06411c3-5482-4e74-bf17-00369008d4cc · outbound

This paper cites Variational methods, volume 34 of Ergebnisse der Mathematik und ihrer Gren- zgebiete.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Variational methods, volume 34 of Ergebnisse der Mathematik und ihrer Gren- zgebiete

Reference 48

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.419874Z digest=sha256:ff1035d220db2c509773159d30077a59f7f5093065e4433744589cdc44dd3fe9

Observation 7f8dbdfa-1ed9-456b-9bc2-1aa3e8e9e951 · outbound

This paper cites Best constant in Sobolev inequality.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Best constant in Sobolev inequality

Reference 49

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no resolver link, observed 2026-08-16T11:28:53.424471Z

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source=pdf_text observed=2026-08-16T11:28:53.424471Z digest=sha256:f5a181306ba44b9bcd85ee0311589f5bdb4503e649dc8db7b0feff59c8f65539

Observation 360dc1ac-0864-45ce-b7c6-937c656e58ff · outbound

This paper cites Concentration compactness via nonstanda rd analysis.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Concentration compactness via nonstanda rd analysis

Reference 50

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.637086Z

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source=pdf_text observed=2026-08-16T11:28:53.429338Z digest=sha256:66314cd70de5f0f9e40e683a9ab0336f40f586414fd2626a57ae601fe2539373

Observation e5462f54-b9bc-4c89-8945-33f55f3438a8 · outbound

This paper cites A fractional profile deco mposition and its application to Kirchhoff-type fractional problems with prescribed mass.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A fractional profile deco mposition and its application to Kirchhoff-type fractional problems with prescribed mass

Reference 51

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.620671Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.434736Z digest=sha256:37ce339d9aaef9709b404b4e36343345304d4fe9f74182507716e99e842045fa

Observation 54b1bb5a-79df-42c2-a3a1-235935b9a11f · outbound

This paper cites Concentration compactness.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Concentration compactness

Reference 52

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.602554Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T11:28:53.439287Z digest=sha256:bcec235206e51f913602bb79d7bdd5cdc21a13ff9ceadc3cd58ae7ebd094c9fd

Observation 8157298d-57b1-4836-82a8-63c00fb57802 · outbound

This paper cites Multiple solutions for nonlinear ellip tic equations on compact Riemannian man- ifolds.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Multiple solutions for nonlinear ellip tic equations on compact Riemannian man- ifolds

Reference 53

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.586101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.443914Z digest=sha256:cf76b534b78a9e5e53df3c2240b1b275c555b06b83257ae6611d31223b11bd9f

Observation 48100fc7-3e0b-478d-aaac-9b06302629b1 · outbound

This paper cites Minimax theorems, volume 24.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Minimax theorems, volume 24

Reference 54

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.448475Z digest=sha256:d8cd912be07d9c57d9b3fed0a33e8d5d339ab468e6f31caefe2eaac29e8cb295

Observation 1caa54a3-7081-4e15-bcac-55e4ad5993b4 · outbound

This paper cites A global compactness result for quasilinea r elliptic equations with critical Sobolev exponents.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator A global compactness result for quasilinea r elliptic equations with critical Sobolev exponents

Reference 55

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.554331Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.453213Z digest=sha256:bb0e204eda15d5a6b681417f08e5ff6899f6baa300d3b5dc2e8f245320c9dcb9

Observation c454fe83-bca5-4fd8-a5b3-23940a232ee3 · outbound

This paper cites Multiplicity of positi ve solutions for a nonlocal elliptic prob- lem involving critical Sobolev-Hardy exponents and concav e-convex nonlinearities.

Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator Multiplicity of positi ve solutions for a nonlocal elliptic prob- lem involving critical Sobolev-Hardy exponents and concav e-convex nonlinearities

Reference 56

Resolution
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raw_fallback, observed 2026-08-16T11:28:53.537338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-16T11:28:53.457761Z digest=sha256:59c689333baceec96972bb05c2d80f5f4b8173c8181aa6768c4ba2c2487d0c0d

Pith citing papers

Observation 67b6c35b-9c49-4f20-9c19-a70f3f0684e0 · inbound

On Coron problems with Choquard term and mixed operator cites this paper.

On Coron problems with Choquard term and mixed operator Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator

Reference 12

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arxiv_id, observed 2026-05-13T17:18:01.230792Z

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source=pdf_text observed=2026-05-13T17:17:01.350810Z digest=sha256:1e6d2ce256dd6e1ec5d000678db45dd28851dbcfc5d96382f2eb6d3acdbb59ba

Observation 8f1d6357-3523-4ee0-b427-1cb5233e91c4 · inbound

Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications cites this paper.

Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator

Reference 15

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arxiv_id, observed 2026-06-29T23:44:02.988840Z

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source=pdf_text observed=2026-06-29T23:37:15.275648Z digest=sha256:a42e12c43c688bdc33c6a6a0e8879e2163257529cdd6ded7f456d73b021b0649

Observation 96140854-7961-46e5-ba38-01ee2b0192e3 · inbound

Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications cites this paper.

Brezis-Nirenberg problems for mixed local-nonlocal operators with superlinear perturbations: compactness and applications Global Compactness Result for a Br\'ezis-Nirenberg-Type Problem Involving Mixed Local Nonlocal Operator

Reference 13

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source=pdf_text observed=2026-08-02T13:18:22.261949Z digest=sha256:7bb780b700ae004ea4626d109438e2c9b081dbbfc6d07122ab984c186dfc622f