Paper Citation Record · LEDGER

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2607.21429.

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

pith.paper-citation-record.v1
2607.21429 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:34:57.300029Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

20 of 20 outbound references displayed

verified exact6
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 48bead22-14af-444e-a5e4-07a9fb3e9ca6 · outbound

This paper cites Aubin,Probl` emes isop´ erim´ etriques et espaces de Sobolev, J.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Aubin,Probl` emes isop´ erim´ etriques et espaces de Sobolev, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:55.294491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 201651e2-97ca-4026-8a37-4bb20dd22016 · outbound

This paper cites Bianchi and H.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Bianchi and H

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:55.361492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b2d0f96-202c-4a48-b797-8d71a0a1b1a7 · outbound

This paper cites Br´ ezis and E.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Br´ ezis and E

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:55.482800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61bb4e9f-7b9c-40bd-a17e-8a4ab10aa2e4 · outbound

This paper cites Br´ ezis and E.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Br´ ezis and E

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:55.568755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0a732b4-dc4e-40d4-a571-7d2e9f548d5b · outbound

This paper cites Ciraolo, A.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Ciraolo, A

Reference 5

Resolution: verified exact; doi, observed 2026-08-01T07:39:14.354062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 17862c2c-951f-4586-aa5b-b14c9955d15c · outbound

This paper cites an unresolved cited work.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-08-01T07:39:14.252090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1290c908-17e8-4e54-a65a-f7281f3a57d9 · outbound

This paper cites an unresolved cited work.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:55.817944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e710622a-f165-4447-b235-e2dea923c6e1 · outbound

This paper cites Figalli and F.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Figalli and F

Reference 8

Resolution: verified exact; doi, observed 2026-08-01T07:39:13.942999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 808acd0a-fa43-4a5d-bc36-52b1dd61c223 · outbound

This paper cites Figalli and Y.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Figalli and Y

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:56.010810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e598613-3ef0-4f1a-906f-03db9d552f42 · outbound

This paper cites an unresolved cited work.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:56.091468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 996c0f59-2ef9-4e31-9a05-3e5b8e857e31 · outbound

This paper cites an unresolved cited work.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:56.176216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0e6e470-10db-46b4-8849-1828d144b80a · outbound

This paper cites Sharp stability for critical points of the Sobolev inequality in the absence of bubbling.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Sharp stability for critical points of the Sobolev inequality in the absence of bubbling

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:56.291548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a1ac650-b55e-43dc-82c8-0c2033257e1b · outbound

This paper cites Sharp Gradient Stability for the Sobolev Trace Inequality.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Sharp Gradient Stability for the Sobolev Trace Inequality

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:56.464823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fa15e46-120f-479a-9871-3359d4408e8c · outbound

This paper cites Maggi, R.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Maggi, R

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:56.586755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 780047f1-bed6-43b7-9016-7e774b6d0e86 · outbound

This paper cites Mercuri and M.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Mercuri and M

Reference 15

Resolution: verified exact; doi, observed 2026-08-01T07:39:13.637299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 52f106c7-6ee4-4634-8e02-c837515f4c27 · outbound

This paper cites Nazaret,Best constant in Sobolev trace inequalities on the half-space, Nonlinear Anal.65(2006), no.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Nazaret,Best constant in Sobolev trace inequalities on the half-space, Nonlinear Anal.65(2006), no

Reference 16

Resolution: verified exact; doi, observed 2026-08-01T07:39:13.549680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8ef51da1-0b12-4814-a9ff-bbbed2221429 · outbound

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

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Talenti,Best constant in Sobolev inequality, Ann

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:57.052517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8945712d-8aff-4a55-bdbf-89186ce14ca7 · outbound

This paper cites Struwe,A global compactness result for elliptic boundary value problems involving limiting nonlin- earities, Math.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Struwe,A global compactness result for elliptic boundary value problems involving limiting nonlin- earities, Math

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:57.136502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c68ba085-72a9-4b01-ba0b-ed1638800052 · outbound

This paper cites Zhang, Y.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Zhang, Y

Reference 19

Resolution: verified exact; doi, observed 2026-08-01T07:39:13.422870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dc75d11d-5265-446c-b89a-512d96132ad0 · outbound

This paper cites Classification Theorem For Positive Critical Points Of Sobolev Trace Inequality.

Sharp One-bubble Critical-Point Stability and Global Compactness for the Sobolev Trace Inequality Classification Theorem For Positive Critical Points Of Sobolev Trace Inequality

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T07:34:57.300029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.