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Paper Citation Record · LEDGER

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem

As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.01331.

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

pith.paper-citation-record.v1
1908.01331 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:25:11.155887Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

  • verified exact0
  • verified fuzzy28
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 35592de9-be2e-4245-8bde-805479eaca69 · outbound

This paper cites an unresolved cited work.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:11.728913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 99e814ca-4eda-4319-8379-34bc433f2327 · outbound

This paper cites an unresolved cited work.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:11.712376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:10.996390Z digest=sha256:60fd0bbfbee8dd1db26429e172e3166e2ec1b8a59502c8ca9a4e80381a5c34de

Observation 8594550a-ceb9-4317-a24c-786045a2799e · outbound

This paper cites Aubin, Problèmes isoperimétriques et espaces de Sobolev.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Aubin, Problèmes isoperimétriques et espaces de Sobolev

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.696476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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Observation 9cec1170-933d-4f1b-9f84-e968d0d961a2 · outbound

This paper cites Bahri, Critical points at infinity in some variational problems.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Bahri, Critical points at infinity in some variational problems

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.679795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.007397Z digest=sha256:922cfdba853fa75be86411d72dfc1ecca1f105a2ad14d93b45990aba203c685b

Observation 64dff7b7-ef5c-4915-bc67-ffe6a2692746 · outbound

This paper cites Bahri, J.-M.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Bahri, J.-M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.647155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.018232Z digest=sha256:171e8d57c99e0c51ca79c7895cd37affbba8cc953bddcbd0b983bf4f1fb84f38

Observation bab79f7a-f44a-4f32-9a04-aab2fbd62b40 · outbound

This paper cites Brézis, Elliptic equations with limiting Sobolev exponents—the im pact of topology.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Brézis, Elliptic equations with limiting Sobolev exponents—the im pact of topology

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.628994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.023316Z digest=sha256:b0bda248c05e77905890c28c9198aaf19da04945d3879cbc17daabf4900c2334

Observation 7b081aea-c05d-49c1-8927-3ff3df8b0bcc · outbound

This paper cites Brézis, E.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Brézis, E

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.612641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.028948Z digest=sha256:6793bb344c1d28487c5aff0e7264c521e5d4e3d2e4baf893747daaf5830fbe78

Observation 8e576074-d0e4-4583-bbe7-3b6de72ec65b · outbound

This paper cites Brézis, L.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Brézis, L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.597086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.034343Z digest=sha256:1255228f2dd9fcaa449397eea317c5a5a26d2c30dfbc0b9da6e830a724c05651

Observation 7306147c-b6ea-42f4-ba9e-1aa9016a3841 · outbound

This paper cites Brézis, L.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Brézis, L

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.579564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.039447Z digest=sha256:6df6d65ea22ca05d3aec56640981cafeade98514f624d20883984e33422844ee

Observation b2dc9f5d-445b-4d48-b785-0ca46ac5a4e1 · outbound

This paper cites Budd, Semilinear elliptic equations with near critical growth ra tes.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Budd, Semilinear elliptic equations with near critical growth ra tes

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.562688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.044109Z digest=sha256:3d4c1430f5ae9c84a60192501d911173d3afe1898c4b1397a7e86de3b622efd6

Observation b8ed5a46-eaf5-4009-8f0b-dd9ee0e99340 · outbound

This paper cites Davies, Heat kernels and spectral theory.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Davies, Heat kernels and spectral theory

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.546233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.048868Z digest=sha256:6f919cdfebb6c499998b5de4bc01741fb5ac43d1c7b7eb4218f447a33beab09d

Observation 5f4b98a9-76f4-4b41-8101-80a2ef86f5a4 · outbound

This paper cites Druet, Elliptic equations with critical Sobolev exponents in dime nsion 3.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Druet, Elliptic equations with critical Sobolev exponents in dime nsion 3

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.530312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.054455Z digest=sha256:72cd9ea1998a0d904915c88135c774f177ee9338c11096b7d4abbbe4c0e58004

Observation 449a042a-1c6a-4ddf-8aaf-dfe2a8f22d85 · outbound

This paper cites Druet, E.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Druet, E

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.514553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.059492Z digest=sha256:b7c14d339e2b5e4c3273134d73e49fbbfef9c5ac5fbc6177145a8a8f4b2c31c4

Observation ca6ca284-14a9-4728-839a-ea7b120fd3f9 · outbound

This paper cites Ekholm, R.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Ekholm, R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.480454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.069552Z digest=sha256:702f7fd6ea685171d9918ba9fb7569938233576c6f6c25e2d427a6ec7e21c71d

Observation 301468d1-ff7f-49d4-b421-388c72f460a6 · outbound

This paper cites Esposito, On some conjectures proposed by Haim Brezis.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Esposito, On some conjectures proposed by Haim Brezis

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.464437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.074222Z digest=sha256:d9b34332d373882263602cd538617785ee7458721d673c2d0df651192cce636d

Observation 2bc5f06d-5343-441e-ab16-364ac7899716 · outbound

This paper cites Flucher, Variational problems with concentration.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Flucher, Variational problems with concentration

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.448360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.079166Z digest=sha256:021e7a0c9046dadc99ebb55d6927ca224b2884b93f4dc6923a3c2fe635b64ca1

Observation 5fccaac8-da5c-49d5-a4d0-da609bee51eb · outbound

This paper cites Flucher, A.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Flucher, A

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.432207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.084534Z digest=sha256:15072efe6068a5be6cf03145760f29d57957ea9e59adfc624658d3cd623e9c37

Observation 865eabba-480d-43d8-9da2-401122fb96b9 · outbound

This paper cites Han, Asymptotic approach to singular solutions for nonlinear el liptic equations involving critical Sobolev exponent.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Han, Asymptotic approach to singular solutions for nonlinear el liptic equations involving critical Sobolev exponent

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.415968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.089826Z digest=sha256:b0588aa2933a97e1914855414748e610061fb6234a3edb0ab3c678863cfdfa7d

Observation 884dbedd-4bef-4d54-bbfa-bdf679c3938f · outbound

This paper cites Hebey, M.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Hebey, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.398853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.095157Z digest=sha256:84e011d9bc6b6f3914e34ad409982a30ed6cb3c0cd695c5cad70d675f15785f8

Observation b8dd3386-d99f-4e0d-a5b9-961cb3949725 · outbound

This paper cites an unresolved cited work.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:11.382022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.100209Z digest=sha256:86db164e34e24cd2d070649559f4598f8529d7eb718f795a7f13a31edb922cb0

Observation 9bfadbcf-1d48-4550-af57-c561c812714c · outbound

This paper cites Lions, The concentration-compactness principle in the calculus o f variations.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Lions, The concentration-compactness principle in the calculus o f variations

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.365876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.105194Z digest=sha256:e53ad834433e8df790fbd684386c1467ba12f2ce648bddcb7b50949cef44e66b

Observation 63b2de14-23ee-4d93-a11c-a82f1d931823 · outbound

This paper cites Rey, Proof of two conjectures of H.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Rey, Proof of two conjectures of H

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.348432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.110406Z digest=sha256:7f512e9d6d00c77158da0dd38ddb10396fc1485d02f4cb4d3849c2d38529debf

Observation 4df7364a-3c82-4376-ac64-64b850e8dc6a · outbound

This paper cites Rey, The role of the Green ’s function in a non-linear elliptic equ ation involving the critical Sobolev exponent.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Rey, The role of the Green ’s function in a non-linear elliptic equ ation involving the critical Sobolev exponent

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.331995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.115270Z digest=sha256:53fe537d4685e107933b3469fcae282a03d1a82c8ba42a568bce25601c303fa6

Observation 79ae2271-ab43-4de7-ae85-7062340a6466 · outbound

This paper cites Rodemich, The Sobolev inequality with best possible constant.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Rodemich, The Sobolev inequality with best possible constant

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.315426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.120290Z digest=sha256:7139c04113058fa362c833a702820564c6ded5091f416c672e6288f27ee1b265

Observation c06f0161-aac4-4870-ad30-fe7d9a70148a · outbound

This paper cites Rosen, Minimum value for c in the Sobolev inequality }φ3} ď c}∇φ}3.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Rosen, Minimum value for c in the Sobolev inequality }φ3} ď c}∇φ}3

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.299051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.125123Z digest=sha256:461900ace03bcb5f577d472346d114f57cf6ca8288789398568e51540b3f3ab2

Observation 9c5510a6-2e71-46cd-968b-4de24e462ee7 · outbound

This paper cites Schoen, Conformal deformation of a Riemannian metric to constant sc alar curvature.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Schoen, Conformal deformation of a Riemannian metric to constant sc alar curvature

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.281872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.129911Z digest=sha256:492c5d90c0da47c0bf89dbd9811e8bc6925db4f0bd67e98bb2d5a923f14ae6b1

Observation 224a481b-06e5-4334-8e68-eec1c13784fc · outbound

This paper cites Simon, The bound state of weakly coupled Schrödinger operators in o ne and two dimensions.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Simon, The bound state of weakly coupled Schrödinger operators in o ne and two dimensions

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.262002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.136016Z digest=sha256:59f0f10de132d109e34ddf6bff8c116d204086485b294af0fdcdaa32fa90ab77

Observation 9edfdc3e-5de9-4b05-9d8a-b02af3459288 · outbound

This paper cites Struwe, A global compactness result for elliptic boundary value pro blems involving limiting nonlinearities.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Struwe, A global compactness result for elliptic boundary value pro blems involving limiting nonlinearities

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.245018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.140815Z digest=sha256:bbd15e637674d5d5df92f50979f1ead6c210d4ebefe72cd6682315ff3fcdbfa6

Observation 6c7503d5-cf1d-4b97-bcc2-dd3805d5b876 · outbound

This paper cites Takahashi, On the location of blow up points of least energy solutions to the Brezis–Nirenberg equation.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Takahashi, On the location of blow up points of least energy solutions to the Brezis–Nirenberg equation

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.228302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.145721Z digest=sha256:b23df6d9d1ec91c43cdccd45839f6424f226a79fe66b1b812cc26976ded468eb

Observation c6553079-cbee-48f1-ad20-2f196bd4129b · outbound

This paper cites Talenti, Best constants in Sobolev inequality.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Talenti, Best constants in Sobolev inequality

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.212269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.150991Z digest=sha256:39c80c72ab9b8ec5c97a5533f2c8f10a3299a475f4c8f7b600ea1c481f09bb8b

Observation 27bf454f-ab24-4888-80bc-cf10cb44cdbd · outbound

This paper cites Wei, Asymptotic behavior of least energy solutions to a semiline ar Dirichlet problem near the critical exponent.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Wei, Asymptotic behavior of least energy solutions to a semiline ar Dirichlet problem near the critical exponent

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:25:11.195804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.155887Z digest=sha256:22b8ab23b7bf027572ceedc5483a54bf96771bbc325cb12b4c1331a93af4cca0

Observation 93b658e8-a87b-42b3-be5a-6d42be2730f2 · outbound

This paper cites an unresolved cited work.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:11.497897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.064723Z digest=sha256:f4ac1a87bc49bf1c90acb80cc7ea38d7704e6ccc0b0c3a4c4c7d7b1d42b72df6

Observation 21568913-b809-4c7f-9f77-bc9d7487d007 · outbound

This paper cites an unresolved cited work.

Energy asymptotics in the three-dimensional Brezis--Nirenberg problem Unresolved cited work

Reference 182

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:25:11.663116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T15:25:11.012696Z digest=sha256:30fa95fea5c0a5187e130daf5af33153303176aaac5f3d029f82aeadb979fa0a

Pith citing papers

No inbound Pith citation observations are available.