Paper Citation Record · LEDGER

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions

As of 17 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2505.24387.

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

pith.paper-citation-record.v1
2505.24387 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:35:52.122356Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:40:56.315414Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T05:40:56.397213Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy24
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1d0b563f-ea52-412e-8a64-200039e0d90c · outbound

This paper cites an unresolved cited work.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:35:58.670949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9daafb9f-7c1b-4d4f-9f13-526080769a35 · outbound

This paper cites Aubin, Espaces de Sobolev sur les vari ´et´es riemanniennes, Bull.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Aubin, Espaces de Sobolev sur les vari ´et´es riemanniennes, Bull

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:58.509842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 00cafc56-054d-4ed5-92a5-0c9f1b3be4de · outbound

This paper cites an unresolved cited work.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:35:58.228240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2c7e958d-19ab-47e5-a509-807a33b17889 · outbound

This paper cites an unresolved cited work.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:35:57.945658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7af31c67-a318-42b9-ab1b-d1c3c0892c84 · outbound

This paper cites Axler, P.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Axler, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:57.608917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation daa5ba0a-46d7-434f-adab-3f59f3575f39 · outbound

This paper cites Bahri and J.-M.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Bahri and J.-M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:57.323772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation befcd28e-60c6-4f16-9314-eee69fb20b73 · outbound

This paper cites Bahri, Y.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Bahri, Y

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:57.010034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bd7eddab-50bc-43ea-8bcc-53f258abcc3a · outbound

This paper cites Brezis, L.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Brezis, L

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:56.824233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e5e70df5-208f-496a-86bd-b65d5b24f404 · outbound

This paper cites Brezis, L.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Brezis, L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:56.688205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bc8c2da3-819f-477e-b65c-e4b243c3bce1 · outbound

This paper cites an unresolved cited work.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:35:56.517375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1213c743-3f6b-4e73-8342-55bc0e74087d · outbound

This paper cites del Pino, P.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions del Pino, P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:56.311989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9677ddbf-dc0e-41ae-9226-8cc701663eda · outbound

This paper cites Druet, Elliptic equations with critical Sobolev exponents in dimension 3, Ann.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Druet, Elliptic equations with critical Sobolev exponents in dimension 3, Ann

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:56.169492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fda37315-4a7b-4e83-83f4-105495f5b9e0 · outbound

This paper cites Esposito, N.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Esposito, N

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:56.019888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b38d0870-181e-4e31-bdac-bc7a1ec89c7f · outbound

This paper cites Grossi, D.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Grossi, D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:55.904491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5c100ffb-cb09-47eb-9408-1ceab2afd157 · outbound

This paper cites an unresolved cited work.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:35:55.729625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3cc5051a-01ba-411d-8c02-5ffef574f5de · outbound

This paper cites K ¨onig, P.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions K ¨onig, P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:55.538644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b495a362-188c-4411-8172-5562f264ce0c · outbound

This paper cites K ¨onig, P.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions K ¨onig, P

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:50.348674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7014436-c367-47ef-b914-1d7e6762fe29 · outbound

This paper cites Iacopetti, G.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Iacopetti, G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:55.384007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eac55831-7772-4131-8c53-77c262472fd9 · outbound

This paper cites Iacopetti, G.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Iacopetti, G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:55.115087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 62da8f9b-9282-4591-a707-99c1e9ec4ae6 · outbound

This paper cites an unresolved cited work.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:35:54.785130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation af868afe-f884-4512-b43c-f84df8ed0b29 · outbound

This paper cites Construction of bubbling solutions of the Brezis-Nirenberg problem in general bounded domains (I): the dimensions 4 and 5.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Construction of bubbling solutions of the Brezis-Nirenberg problem in general bounded domains (I): the dimensions 4 and 5

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T12:35:50.700984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bdf7dac-c5f5-4603-af28-ed46ca28c319 · outbound

This paper cites Morabito, A.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Morabito, A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:54.637883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9a6c8c4b-fe55-48e9-8f99-d7d6c056022d · outbound

This paper cites Musso, A.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Musso, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:54.405679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3696fece-f99a-4bb8-9a8f-7d5e9519612c · outbound

This paper cites Musso, D.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Musso, D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:54.135116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 02e28454-a237-489b-8154-fa5985070009 · outbound

This paper cites Pistoia, O.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Pistoia, O

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:53.778397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cf0c182b-8e27-43c1-8773-44c60a73397b · outbound

This paper cites Pistoia, S.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Pistoia, S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:53.544599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2295e5ad-38eb-4cc1-9af0-519391e62415 · outbound

This paper cites Pistoia, G.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Pistoia, G

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:53.285836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6e9849cb-5db9-46d7-b040-c13e24f49b06 · outbound

This paper cites Pistoia and G.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Pistoia and G

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:53.042393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5992c95c-225e-41f0-92b5-5f7d43d8e1fb · outbound

This paper cites Premoselli.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Premoselli

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:52.859745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bf3d8255-245b-45ed-8138-0465b56c5c3b · outbound

This paper cites Rey, The role of the Green’s function in a nonlinear elliptic equation involving the critical Sobolev exponent, J.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Rey, The role of the Green’s function in a nonlinear elliptic equation involving the critical Sobolev exponent, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:52.695566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bfb51615-3317-4ce9-b625-a4ea9de13e22 · outbound

This paper cites Stein, G.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Stein, G

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:52.528717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cc1a390c-cc7c-4e8a-b801-913c73bbeaf3 · outbound

This paper cites Talenti, Best constant in Sobolev inequality,Ann.

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions Talenti, Best constant in Sobolev inequality,Ann

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:35:52.390042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 6d913f85-900c-4baf-bb88-427ee4099e9c · inbound

Sharp quantitative stability estimates for the Brezis-Nirenberg problem cites this paper.

Sharp quantitative stability estimates for the Brezis-Nirenberg problem Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:40:56.400871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.