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Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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
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  • 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:10.996390Z digest=sha256:9dd1c01937be45bcba5f22bf95c014eea312bed5e43186e7f744f9b9fce05453

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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.007397Z digest=sha256:51b8d03f8516c60d42eb2463b256e24c69c2155fd9ba2b462fc758582c7b3894

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.018232Z digest=sha256:2eee3d8ca1943f1954e1d4fbb9a3b6e61286169ed5734d58e88a7374c1f79221

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.023316Z digest=sha256:41956be6aa77311209c544d42ca6720e2cbe4fd522c825b3958654a6241f69bd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.028948Z digest=sha256:17efa99a51889cdfa1befc040eb0f68f854625e096705079ef737193eb24c70f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.034343Z digest=sha256:dcf044d57f79330d4be06bc856184fbb514dffed8c24c1e2d0c8278d413c6177

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.039447Z digest=sha256:db6c8075821a9e081ff9df9ce6cd3bd219809b1e111ed66d7e9e2563e2d7772b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.044109Z digest=sha256:eb1361038820d9a150858499d135b4612beb74bb675a935fa442cf7c93288f23

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.048868Z digest=sha256:3b2a132af5073e0af5d6dcaaf55170e55e94806872b22d34a4cd0b2416c27de7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.054455Z digest=sha256:a10b78d6c4447a4fc2b9b61b9aab541b63ba898793aa8da163126743fe23b429

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.059492Z digest=sha256:51d58c49e63586d9abee4d734a9327fa830bc43f41f9bbd6b350e322dd1adafd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.069552Z digest=sha256:2c47e4cb688948fcba7d823feabb3188718cd7940355485f83c943e10f0405a7

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.074222Z digest=sha256:74f1c3adb0586788c5589ec649f3ac88954d405eaed3e77fa188691d1be3830c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.079166Z digest=sha256:9761a69a3fc336b21d51acf951958b738723537e16bfa86bc164eb25c767f701

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.084534Z digest=sha256:93c02dd00e19b9d33ad36c9c0b26b84d2fed11f55636266c949f23769d9524c0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.089826Z digest=sha256:20d3199f8fdce19f3b7717c48a2536a4e6363d17722b9e400bc9a106b6f77893

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.095157Z digest=sha256:2787c18195720670f3c32e2adafdb01173614caed2365eb90b4a889bbf119224

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.100209Z digest=sha256:fdbf3a4cf886e72c596c5cccd151171214d2a87c1b5e5569421aaa5e713518e6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.105194Z digest=sha256:898feb5d6ecf50fdf59c2d448162c1508695fff21dc78b512ff885e9546d6632

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.110406Z digest=sha256:e11fed98f68389d6308a9117e2a73ab647e5ba8be4f20636638a46b186e5fb3b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.115270Z digest=sha256:c4ff50a7b288f0dfbe4b830a775d11e6571491ee49b13acce572d06df0c962ac

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.120290Z digest=sha256:1bcdfc2df96c3947917f1750ffb9cfc3e1ea7465de5db68f2d5eebb89597ac70

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.125123Z digest=sha256:2ae05e30cac594a143096a660c961d74dea47d07df4883b86644de2cbbd94a0a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.129911Z digest=sha256:41de445d8ca40094f379d510d4a6cc643d240c7d702e94c3da71344bb2a24b9b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.136016Z digest=sha256:febb6e6313a44d3440e24e80fb09cd7353f4046039010eec41437b283e2f4b00

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.140815Z digest=sha256:e1e60bb085f115ec243332b658e8a3f35d7b28512e4ef257b083d61edc2b0961

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.145721Z digest=sha256:1b6ee30c39ddfbb580f5a9978fbaba0811cb0f6a040747171b43e4c89b8ae1e5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.150991Z digest=sha256:fcc0c9ca70abedc42abbcb396d9a81a9beed684e19e1549b036335b714dfe116

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.155887Z digest=sha256:d9fe440dc896ad26a59f1d5d1f2915acb0c3f3b00af7a029946a531e6cb6d766

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.064723Z digest=sha256:6a65eb39ebd2d00bbf8088ebd978e19082f43ea6564e05909d5968b5fc7479d8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:25:11.012696Z digest=sha256:e851612127b236678c4a3bc3ccbccda87c7b1fc1a3f9b27ad6c377343931e2b8

Pith citing papers

No inbound Pith citation observations are available.