Paper Citation Record · LEDGER

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones

As of 15 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2507.04470.

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

pith.paper-citation-record.v1
2507.04470 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:03:03.116017Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:23:59.505641Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy15
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d1a73a10-de72-4667-8aa1-c3fad41a39a2 · outbound

This paper cites Journal of Differ- ential Geometry 11 (1976), N4, pp.573-598.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones Journal of Differ- ential Geometry 11 (1976), N4, pp.573-598

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.471901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 68455838-db68-4455-b7dd-dc12288a8181 · outbound

This paper cites and Lieb, E., A relation between pointwise convergence of functions and convergence of functionals.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones and Lieb, E., A relation between pointwise convergence of functions and convergence of functionals

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.453372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b1ce8025-43d6-47b6-aa08-1e08a7f612fb · outbound

This paper cites and Roncoroni, A., Symmetry results for critical anisotropic p-Laplacian equations in convex cones.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones and Roncoroni, A., Symmetry results for critical anisotropic p-Laplacian equations in convex cones

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.435264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation aff242ca-8ec6-478e-954a-0ec2eb73cfbb · outbound

This paper cites and Polvara, C.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones and Polvara, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.418279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a152e100-d908-4138-a7f6-d23e9e7de54d · outbound

This paper cites and Pacella, F., Existence of nonradial positive and nodal solutions to a critical Neumann problem in a cone.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones and Pacella, F., Existence of nonradial positive and nodal solutions to a critical Neumann problem in a cone

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.395588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ec86d248-50c0-496f-ab84-01dd1726c0f8 · outbound

This paper cites an unresolved cited work.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:03:03.377743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bcb08d7b-3d54-4cac-be30-75795710b8cf · outbound

This paper cites Transactions of the American Mathematical Society330 (1992), N1, pp.191-201.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones Transactions of the American Mathematical Society330 (1992), N1, pp.191-201

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.361190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3dbb91e7-a243-41b9-848e-a1dd242f64dd · outbound

This paper cites Springer (2014).

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones Springer (2014)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.335928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e36fdddc-8709-40ce-85d1-481379f38e51 · outbound

This paper cites and Yuan, C., Multiple solutions for quasi-linear PDEs involv- ing the critical Sobolev and Hardy exponents.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones and Yuan, C., Multiple solutions for quasi-linear PDEs involv- ing the critical Sobolev and Hardy exponents

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.316857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df7bbe78-f94a-45f1-b3d4-0c0ebacd7511 · outbound

This paper cites H., Sharp constants in the Hardy–Littlewood–Sobolev and related inequalities.InInequalities:SelectaofElliottH.Lieb(1983),pp.529-554.Berlin, Heidelberg: Springer Berlin Heidelberg.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones H., Sharp constants in the Hardy–Littlewood–Sobolev and related inequalities.InInequalities:SelectaofElliottH.Lieb(1983),pp.529-554.Berlin, Heidelberg: Springer Berlin Heidelberg

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.298984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a48ec201-69e0-4503-9a4d-dab7954dd4f4 · outbound

This paper cites L., The concentration-compactness principle in the Calculus of Vari- ations.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones L., The concentration-compactness principle in the Calculus of Vari- ations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.269017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d37ad3d0-e951-453c-a189-2e9e9cdab352 · outbound

This paper cites L., The concentration-compactness principle in the calculus of varia- tions.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones L., The concentration-compactness principle in the calculus of varia- tions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.250512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc407484-4d02-4e95-92a0-43725474390f · outbound

This paper cites L., Pacella, F.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones L., Pacella, F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.232540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 562e4fc8-190a-4ba9-a54b-6bd5084e71ef · outbound

This paper cites I., On solutions of the Dirichlet problem for an equation involving the p-Laplacian in a spherical layer.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones I., On solutions of the Dirichlet problem for an equation involving the p-Laplacian in a spherical layer

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.216077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 95f442be-7008-492a-86a7-91ad46f4a9e8 · outbound

This paper cites I., Hardy-Sobolev inequalities in a cone.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones I., Hardy-Sobolev inequalities in a cone

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.197215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66862b42-8723-4f57-b89d-7d884c97ec17 · outbound

This paper cites Annali di Matematica pura ed Applicata 110 (1976), pp.353-372.

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones Annali di Matematica pura ed Applicata 110 (1976), pp.353-372

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:03:03.173188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 9fc77561-10cb-4fce-a420-08a9ddf0c470 · inbound

Non-radial solutions for the quasi-linear H\'enon type $N$-Laplacian Liouville equation cites this paper.

Non-radial solutions for the quasi-linear H\'enon type $N$-Laplacian Liouville equation Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-31T23:23:59.505641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.