Paper Citation Record · LEDGER

Boundary regularity for subelliptic equations in the Heisenberg group

As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2506.05151.

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

pith.paper-citation-record.v1
2506.05151 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:41:45.040794Z

measured 45 of 45 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-17T01:38:49.486703Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T01:41:25.065658Z

Reference resolution

44 of 44 outbound references displayed

verified exact0
verified fuzzy33
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation affe4abf-7375-4f56-91c6-b3924305a02c · outbound

This paper cites Guti´ errez, and Giulio Tralli,Harnack’s inequality for a class of non-divergent equations in the Heisenberg group , Comm.

Boundary regularity for subelliptic equations in the Heisenberg group Guti´ errez, and Giulio Tralli,Harnack’s inequality for a class of non-divergent equations in the Heisenberg group , Comm

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.577600Z

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 ea140fc9-e860-4488-be92-397135556345 · outbound

This paper cites Apushkinskaya and Alexander I.

Boundary regularity for subelliptic equations in the Heisenberg group Apushkinskaya and Alexander I

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.566802Z

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 37e36d90-3f9e-401c-b4f2-e99a5927cf43 · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.557300Z

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 79ef6738-b07b-49c1-971f-f0288087debc · outbound

This paper cites Munive, Compactness methods for Γ1,α boundary Schauder estimates in Carnot groups , Calc.

Boundary regularity for subelliptic equations in the Heisenberg group Munive, Compactness methods for Γ1,α boundary Schauder estimates in Carnot groups , Calc

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.537292Z

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 5b17a67c-a868-4574-8b51-af581c14426c · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.527000Z

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 30a3bf70-a5c8-47d3-a314-43ba9d81772a · outbound

This paper cites MR 2363343.

Boundary regularity for subelliptic equations in the Heisenberg group MR 2363343

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.516502Z

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 b9e84086-fe10-47c6-a8d8-ceb56fad04a9 · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.506603Z

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 a684fc4b-99b9-4e13-8e2a-ca4f85fc07f8 · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.496987Z

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 fb39541c-b63a-4987-a162-14a8e314d62a · outbound

This paper cites Caffarelli, Interior a priori estimates for solutions of fully nonlinear equations , Ann.

Boundary regularity for subelliptic equations in the Heisenberg group Caffarelli, Interior a priori estimates for solutions of fully nonlinear equations , Ann

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.487201Z

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 eebab7ba-9ff9-4f14-9abc-5c1cc5ad6588 · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.476833Z

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 8824ce8d-0c1a-4e04-a821-8fa4cb591430 · outbound

This paper cites Value Probl.

Boundary regularity for subelliptic equations in the Heisenberg group Value Probl

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.467175Z

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 f7dd52d9-102f-4834-8ea4-24be6e82fd9b · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 12

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T10:41:45.133040Z

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 2d84e3c5-ba58-4a4f-ba34-72db130e402f · outbound

This paper cites Guti´ errez, and Ermanno Lanconelli, Covering theorems, inequalities on metric spaces and applications to PDE’s , Math.

Boundary regularity for subelliptic equations in the Heisenberg group Guti´ errez, and Ermanno Lanconelli, Covering theorems, inequalities on metric spaces and applications to PDE’s , Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.456191Z

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 25fe59cc-c63b-498a-8471-ebd03c1808f8 · outbound

This paper cites Wisconsin Press, Madison, WI, 1960, pp.

Boundary regularity for subelliptic equations in the Heisenberg group Wisconsin Press, Madison, WI, 1960, pp

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.444356Z

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 3527819c-e031-469e-b90e-331dac790917 · outbound

This paper cites Folland, A fundamental solution for a subelliptic operator , Bull.

Boundary regularity for subelliptic equations in the Heisenberg group Folland, A fundamental solution for a subelliptic operator , Bull

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.434021Z

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 b77cc28a-b05b-48bf-a79e-1aaa03effd90 · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.423590Z

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 3cf24e98-e296-4e20-865a-89d437b73738 · outbound

This paper cites Stein , J.

Boundary regularity for subelliptic equations in the Heisenberg group Stein , J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.413094Z

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 fe2243b5-9038-48b0-a40f-311e08b824a3 · outbound

This paper cites Folland and Elias M.

Boundary regularity for subelliptic equations in the Heisenberg group Folland and Elias M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.403287Z

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 aa4c26e9-d950-4e7b-90d7-bd15b0c591cc · outbound

This paper cites 139 (1977), no.

Boundary regularity for subelliptic equations in the Heisenberg group 139 (1977), no

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.393680Z

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 3d1dd277-b3e5-4d3c-a07b-78229bec6e0c · outbound

This paper cites Trudinger, Elliptic partial differential equations of second order , Classics in Mathematics, Springer-Verlag, Berlin, 2001, Reprint of the 1998 edition.

Boundary regularity for subelliptic equations in the Heisenberg group Trudinger, Elliptic partial differential equations of second order , Classics in Mathematics, Springer-Verlag, Berlin, 2001, Reprint of the 1998 edition

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.383918Z

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 8b2695fc-f84f-496d-ab74-e41574a15c13 · outbound

This paper cites 169 (2018), 130–162.

Boundary regularity for subelliptic equations in the Heisenberg group 169 (2018), 130–162

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.373400Z

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 de5b92ea-6042-483d-a73c-df808e752b59 · outbound

This paper cites Guti´ errez and Ermanno Lanconelli,Maximum principle, nonhomogeneous Harnack inequal- ity, and Liouville theorems for X-elliptic operators , Comm.

Boundary regularity for subelliptic equations in the Heisenberg group Guti´ errez and Ermanno Lanconelli,Maximum principle, nonhomogeneous Harnack inequal- ity, and Liouville theorems for X-elliptic operators , Comm

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.362368Z

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 908cb446-49ac-4d5e-bd11-853b2572f236 · outbound

This paper cites Guti´ errez and Federico Tournier,Harnack inequality for a degenerate elliptic equation, Comm.

Boundary regularity for subelliptic equations in the Heisenberg group Guti´ errez and Federico Tournier,Harnack inequality for a degenerate elliptic equation, Comm

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.352332Z

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 a507c2d1-a356-4794-82cd-bd6726ecb8cf · outbound

This paper cites 171, American Mathematical Society, Providence, RI, 2016.

Boundary regularity for subelliptic equations in the Heisenberg group 171, American Mathematical Society, Providence, RI, 2016

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.342466Z

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 130955c9-00ec-4b45-8609-c65142cb7d0f · outbound

This paper cites Jerison, The Dirichlet problem for the Kohn Laplacian on the Heisenberg group.

Boundary regularity for subelliptic equations in the Heisenberg group Jerison, The Dirichlet problem for the Kohn Laplacian on the Heisenberg group

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.332238Z

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 4c88df21-e4e9-4df4-9804-f7dfeac456c9 · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.322644Z

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 88a584f1-854c-4b98-891c-fd488a3c88c3 · outbound

This paper cites Kazdan, Prescribing the curvature of a Riemannian manifold , CBMS Regional Conference Series in Mathematics, vol.

Boundary regularity for subelliptic equations in the Heisenberg group Kazdan, Prescribing the curvature of a Riemannian manifold , CBMS Regional Conference Series in Mathematics, vol

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.312650Z

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 32e14ff2-ebbe-4303-964b-a1aa3e6effff · outbound

This paper cites Kohn, Boundaries of complex manifolds , Proc.

Boundary regularity for subelliptic equations in the Heisenberg group Kohn, Boundaries of complex manifolds , Proc

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.302723Z

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 b6dadc10-5a62-4b5d-8f4c-7ef03698dfb4 · outbound

This paper cites Kohn and Louis Nirenberg, Non-coercive boundary value problems, Comm.

Boundary regularity for subelliptic equations in the Heisenberg group Kohn and Louis Nirenberg, Non-coercive boundary value problems, Comm

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.293168Z

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 218acdf0-967d-4134-a138-3647d671b049 · outbound

This paper cites Krylov, Boundedly inhomogeneous elliptic and parabolic equations in a domain , Izv.

Boundary regularity for subelliptic equations in the Heisenberg group Krylov, Boundedly inhomogeneous elliptic and parabolic equations in a domain , Izv

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.283137Z

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 e6324627-231d-4ce9-b530-02e307c1f6b9 · outbound

This paper cites Krylov and Mikhail V.

Boundary regularity for subelliptic equations in the Heisenberg group Krylov and Mikhail V

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.272958Z

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 ec7954a3-7ca2-42de-bf7f-2239dbc5bc56 · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.261915Z

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 baf4258e-6d15-4ae9-b462-d46304dc14d5 · outbound

This paper cites Differential Equations 248 (2010), no.

Boundary regularity for subelliptic equations in the Heisenberg group Differential Equations 248 (2010), no

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.251575Z

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 1bf28d55-ba6e-4311-aa48-eae434672383 · outbound

This paper cites Landis, Harnack’s inequality for second order elliptic equations of Cordes type , Dokl.

Boundary regularity for subelliptic equations in the Heisenberg group Landis, Harnack’s inequality for second order elliptic equations of Cordes type , Dokl

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.241297Z

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 0cf6b31c-b8ee-40ec-9a54-a50d14d3519a · outbound

This paper cites 171, American Mathematical Society, Providence, RI, 1998, Translated from the 1971 Russian original by Tamara Rozhkovskaya, With a preface by Nina Uraltseva.

Boundary regularity for subelliptic equations in the Heisenberg group 171, American Mathematical Society, Providence, RI, 1998, Translated from the 1971 Russian original by Tamara Rozhkovskaya, With a preface by Nina Uraltseva

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.231513Z

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 c6cc75d0-6c2c-4b6e-8427-907e9863c5eb · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.221222Z

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 891bf16b-5f9b-43ca-851e-9c9fb0ea7aba · outbound

This paper cites Michael, Barriers for uniformly elliptic equations and the exterior cone condition , J.

Boundary regularity for subelliptic equations in the Heisenberg group Michael, Barriers for uniformly elliptic equations and the exterior cone condition , J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.211374Z

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 10802140-6391-46c0-801c-fe4988b0b7df · outbound

This paper cites an unresolved cited work.

Boundary regularity for subelliptic equations in the Heisenberg group Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:41:45.201355Z

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 1719166f-9dac-4584-ac91-ed20417c9372 · outbound

This paper cites Oleinik and Evgenii V.

Boundary regularity for subelliptic equations in the Heisenberg group Oleinik and Evgenii V

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.190347Z

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 bd5ae361-a04f-49b5-829c-cd0a154c9b6f · outbound

This paper cites Safonov, On the boundary estimates for second-order elliptic equations , Complex Var.

Boundary regularity for subelliptic equations in the Heisenberg group Safonov, On the boundary estimates for second-order elliptic equations , Complex Var

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.179819Z

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 09a89414-8455-4b57-b365-d4435151d675 · outbound

This paper cites 4, 271–284.

Boundary regularity for subelliptic equations in the Heisenberg group 4, 271–284

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.168366Z

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 7f77e597-d135-4c8f-88a4-09e25208fa9a · outbound

This paper cites Differential Equations 256 (2014), no.

Boundary regularity for subelliptic equations in the Heisenberg group Differential Equations 256 (2014), no

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.156501Z

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 090bf4b2-33b5-4bcb-b3ea-38e438da900b · outbound

This paper cites ABEDIN AND G.

Boundary regularity for subelliptic equations in the Heisenberg group ABEDIN AND G

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.547486Z

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 4a7ae5d0-3bec-4264-a120-ba27da6cf70f · outbound

This paper cites Notes Semin.

Boundary regularity for subelliptic equations in the Heisenberg group Notes Semin

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:41:45.145705Z

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

Observation da16837a-4c3e-4f18-9283-514e0eb3be61 · inbound

Critical concave-convex problems in Carnot groups cites this paper.

Critical concave-convex problems in Carnot groups Boundary regularity for subelliptic equations in the Heisenberg group

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-05-17T01:41:25.068858Z

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.