Paper Citation Record · LEDGER

Nonlinear Beurling-Deny criteria

As of 11 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2502.03691.

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

pith.paper-citation-record.v1
2502.03691 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T04:15:34.070542Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T23:50:42.780988Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:22:13.735594Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy14
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f479083e-c39e-4127-8431-79dba780467e · outbound

This paper cites Barthélemy,Invariance d’un convexe fermé par un semi-groupe associé à une forme non-linéaire., Abstr.

Nonlinear Beurling-Deny criteria Barthélemy,Invariance d’un convexe fermé par un semi-groupe associé à une forme non-linéaire., Abstr

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.338440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e71f6392-43c3-4814-b16c-fcdcac06324c · outbound

This paper cites 4 (Paris, 1977/1978), volume 713 of Lecture Notes in Math., pages 1–37.

Nonlinear Beurling-Deny criteria 4 (Paris, 1977/1978), volume 713 of Lecture Notes in Math., pages 1–37

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.323622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 770177f7-97cf-41c1-a03a-40fdfdaeb3d0 · outbound

This paper cites Claus,Nonlinear Dirichlet forms, PhD thesis, Technische Universität Dres- den, 2021.

Nonlinear Beurling-Deny criteria Claus,Nonlinear Dirichlet forms, PhD thesis, Technische Universität Dres- den, 2021

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.307615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 98d05e57-aabd-46e6-8f48-cca050b29ac9 · outbound

This paper cites Claus,Energy spaces, Dirichlet forms and capacities in a nonlinear setting, Potential Analysis (2023) 58:159–179.

Nonlinear Beurling-Deny criteria Claus,Energy spaces, Dirichlet forms and capacities in a nonlinear setting, Potential Analysis (2023) 58:159–179

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.291384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e424e3f0-4296-4274-9bbe-2333d54448c4 · outbound

This paper cites Chill, D.

Nonlinear Beurling-Deny criteria Chill, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.275600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6df756bc-8aa8-4832-885e-f7fbb1b9a05f · outbound

This paper cites Chill, M.

Nonlinear Beurling-Deny criteria Chill, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.259369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1451261c-2934-492a-8c65-5a099120ca8d · outbound

This paper cites Brigati, I.

Nonlinear Beurling-Deny criteria Brigati, I

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.242942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1a966f2e-4c20-45ac-a6be-dc08ecd28b23 · outbound

This paper cites Hofmann, J.

Nonlinear Beurling-Deny criteria Hofmann, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.226876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a9b13155-6ebc-4ab3-8abe-87feb42216bd · outbound

This paper cites Warma,The p-Laplace operator with the nonlocal Robin boundary con- ditions on arbitrary open sets, Ann.

Nonlinear Beurling-Deny criteria Warma,The p-Laplace operator with the nonlocal Robin boundary con- ditions on arbitrary open sets, Ann

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.210335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ffe4967a-8e9e-40c4-add6-05421c15e162 · outbound

This paper cites Grillo,On the equivalence between p-Poincaré inequalities andLr-Lq reg- ularization and decay estimates of certain nonlinear evolutions, J.

Nonlinear Beurling-Deny criteria Grillo,On the equivalence between p-Poincaré inequalities andLr-Lq reg- ularization and decay estimates of certain nonlinear evolutions, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.192633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8d44ff7d-b050-40a6-8822-63cba99b389d · outbound

This paper cites Schmidt,Energy forms, PhD thesis, Friedrich-Schiller-Universität Jena, 2017.

Nonlinear Beurling-Deny criteria Schmidt,Energy forms, PhD thesis, Friedrich-Schiller-Universität Jena, 2017

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.173629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c0332ec4-944c-434c-b7d6-b2bf55b00f55 · outbound

This paper cites Reine Angew.

Nonlinear Beurling-Deny criteria Reine Angew

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.155911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bc5d6dff-b35d-469d-a354-c3960c254c1e · outbound

This paper cites Beurling, J.

Nonlinear Beurling-Deny criteria Beurling, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.139146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c9b14e6b-6030-401f-aebe-dc8b3a2f5ff7 · outbound

This paper cites Beurling, J.

Nonlinear Beurling-Deny criteria Beurling, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:15:34.122917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e2e07a46-63b4-49e9-b81e-502574ef0133 · outbound

This paper cites an unresolved cited work.

Nonlinear Beurling-Deny criteria Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:15:34.107329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

Observation 21ea8dd6-a929-4e60-8689-837f5e5a1dd3 · inbound

The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms cites this paper.

The extended Dirichlet space and criticality theory for nonlinear Dirichlet forms Nonlinear Beurling-Deny criteria

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-09T23:50:42.780988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c832e6b8-bd87-4fcf-a1d8-3b095fc0ec9f · inbound

Nonlinear resistance forms cites this paper.

Nonlinear resistance forms Nonlinear Beurling-Deny criteria

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:22:13.880601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.