Paper Citation Record · LEDGER

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition

As of 8 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.05885.

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

pith.paper-citation-record.v1
2607.05885 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-08T22:02:27.189042Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

21 of 21 outbound references displayed

verified exact1
verified fuzzy15
unresolved5
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8aa3596c-15bd-464c-a67a-cc54671493e9 · outbound

This paper cites Adachi, A positive solution of a nonhomogeneous elliptic equation inRN with G-invariant nonlinearity,Comm.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Adachi, A positive solution of a nonhomogeneous elliptic equation inRN with G-invariant nonlinearity,Comm

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.566938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bb911157-152c-401c-b55a-cb3d09b85e80 · outbound

This paper cites Axler, P.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Axler, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.589257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1441118d-988a-4439-9b8d-fbbfe71f6dc3 · outbound

This paper cites Ambrosetti, J.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Ambrosetti, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.574323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e5f24bc5-3bc9-4ec1-b4dc-77ed9c0bcc0d · outbound

This paper cites Bahri and Y.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Bahri and Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.560936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 53ed636e-18e0-4efd-a9c9-dfe267d69609 · outbound

This paper cites Brezis and E.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Brezis and E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.587384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 829a340e-e25c-49f6-89f9-1e48f2dad83c · outbound

This paper cites Brezis and L.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Brezis and L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.579870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ee878e79-abb2-43a2-a7de-9ccf0eb44374 · outbound

This paper cites Wang, Symmetric solutions for the prescribed scalar curvature problem, Indiana Univ.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Wang, Symmetric solutions for the prescribed scalar curvature problem, Indiana Univ

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.570791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d8d7beb8-3222-4af7-9083-daf93d1895cf · outbound

This paper cites Clapp, Entire nodal solutions to the pure critical exponent problem arising from concentration, J.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Clapp, Entire nodal solutions to the pure critical exponent problem arising from concentration, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.585407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 194b578d-097b-4575-875f-ac485938e8ba · outbound

This paper cites an unresolved cited work.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-08T22:05:42.583637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6209c76a-0020-42d6-bd62-599dac63d710 · outbound

This paper cites Hebey, From the Yamabe problem to the equivariant Yamabe problem,Sémin.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Hebey, From the Yamabe problem to the equivariant Yamabe problem,Sémin

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.591068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 52b9482c-cb2e-4c79-9529-da1d0fed1dcf · outbound

This paper cites Hebey and M.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Hebey and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.564577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 66a97971-44bf-4000-8eaf-56f183d41a18 · outbound

This paper cites Hirata, A positive solution of a nonlinear Schrödinger equation withG-symmetry, Nonlinear Anal.69 (2008), no.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Hirata, A positive solution of a nonlinear Schrödinger equation withG-symmetry, Nonlinear Anal.69 (2008), no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.576228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3abb74bc-e6bb-495f-8a31-61b97124789a · outbound

This paper cites an unresolved cited work.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-08T22:05:42.578199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ff57e7b4-3fe0-4fc6-ba45-8e6e9562b541 · outbound

This paper cites an unresolved cited work.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-08T22:05:42.568674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 70d4b016-3e32-4e5b-a1f6-0570e394dee5 · outbound

This paper cites an unresolved cited work.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-08T22:05:42.594573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0eec01e-1b7b-42b0-863e-ed0353cb98ba · outbound

This paper cites an unresolved cited work.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-08T22:05:42.562740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation efd33daf-5e33-41b1-b553-9fc781607f8a · outbound

This paper cites Okumura, Profile decomposition in Sobolev spaces and decomposition of integral functionals I: inhomogeneous case,J.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Okumura, Profile decomposition in Sobolev spaces and decomposition of integral functionals I: inhomogeneous case,J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.592994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2fd1b185-135b-415e-b947-e179dd51e8e1 · outbound

This paper cites Profile decomposition in Sobolev spaces and decomposition of integral functionals II: homogeneous case.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Profile decomposition in Sobolev spaces and decomposition of integral functionals II: homogeneous case

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-08T22:05:42.552284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 846a6df7-b27e-46d0-804c-4a786b5cb95a · outbound

This paper cites Palais, The Principle of Symmetric Criticality, Commun.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Palais, The Principle of Symmetric Criticality, Commun

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.581801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2078f29e-d711-49df-949e-95bb476d6287 · outbound

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

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Talenti, Best constant in Sobolev inequality,Ann

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.558746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 11da5c48-83c5-4867-98f9-32522aedaef6 · outbound

This paper cites Tintarev and K.-H.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Tintarev and K.-H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T22:05:42.572520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.