Paper Citation Record · LEDGER

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2505.24410.

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

pith.paper-citation-record.v1
2505.24410 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:37:29.015657Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

26 of 26 outbound references displayed

verified exact0
verified fuzzy23
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a5b7ec0-5b94-438e-913f-450edb1827a7 · outbound

This paper cites 6, 641–651.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 6, 641–651

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:34.015286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f79898c4-e7c1-4b97-be5f-84888e7b12e0 · outbound

This paper cites 1, 155–184.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 1, 155–184

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:33.837998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a447631a-dfc8-42c5-88fe-1a22498718cb · outbound

This paper cites Caffarelli and Avner Friedman,The free boundary in the filtration problem, Journal of Differential Equations 29 (1978), no.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Caffarelli and Avner Friedman,The free boundary in the filtration problem, Journal of Differential Equations 29 (1978), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:33.673735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 08fc7b75-bf1f-4d19-953e-8dc99f624619 · outbound

This paper cites an unresolved cited work.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:33.516888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation de7b7908-4644-47ec-abc7-b36d6584dc72 · outbound

This paper cites Caffarelli,Interior W 2,p estimates for solutions of the Monge-Ampère equation, Annals of Mathematics 131 (1990), no.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Caffarelli,Interior W 2,p estimates for solutions of the Monge-Ampère equation, Annals of Mathematics 131 (1990), no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:33.333086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 451d6e5c-6a15-4347-9a58-bf99a8576462 · outbound

This paper cites Caffarelli, Michael G.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Caffarelli, Michael G

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:33.060061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c645e87c-95d5-4b8f-a101-95495a773a60 · outbound

This paper cites Caffarelli and Cristian E.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Caffarelli and Cristian E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:32.872964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6a838795-6c28-4f79-9d63-fd49abf667a8 · outbound

This paper cites an unresolved cited work.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:32.697433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 10a997d6-532a-43e5-b160-294856258d3e · outbound

This paper cites an unresolved cited work.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:37:32.512571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f20fe269-2253-4741-a49f-73660bfd9e59 · outbound

This paper cites Cullen, J.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Cullen, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:32.324534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b496d008-f5fc-4297-8b9d-fd7ee5f8955a · outbound

This paper cites 1, 311–366.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 1, 311–366

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:32.074816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6bf1fcb9-248f-4f93-9048-d46fe15d971d · outbound

This paper cites Frehse, On the regularity of the solution of a second order variational inequality, Bollettino dell’Unione Matematica Italiana6 (1972), 312–315.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Frehse, On the regularity of the solution of a second order variational inequality, Bollettino dell’Unione Matematica Italiana6 (1972), 312–315

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:31.854214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5d378e03-e99f-4b59-ac59-7b09f6622335 · outbound

This paper cites Gutiérrez and Qingbo Huang,Geometric properties of the sections of solutions to the Monge-Ampère equation, Transactions of the American Mathematical Society352 (2000), no.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Gutiérrez and Qingbo Huang,Geometric properties of the sections of solutions to the Monge-Ampère equation, Transactions of the American Mathematical Society352 (2000), no

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:31.653954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 50e9ee50-ce1f-4ff3-8c9c-3cc8405bfd50 · outbound

This paper cites Gutiérrez,The Monge-Ampère equation, Progress in nonlinear differential equations and their applications, vol.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Gutiérrez,The Monge-Ampère equation, Progress in nonlinear differential equations and their applications, vol

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:31.468754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e3ce783-2315-41e6-a326-dbaddbb0bc3a · outbound

This paper cites Gutiérrez and Truyen Nguyen,Interior gradient estimates for solutions to the linearized Monge–Ampère equation, Advances in Mathematics228 (2011), no.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Gutiérrez and Truyen Nguyen,Interior gradient estimates for solutions to the linearized Monge–Ampère equation, Advances in Mathematics228 (2011), no

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:31.290703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1a20dcfe-308c-424d-8918-70637b57bd59 · outbound

This paper cites Gutiérrez and Truyen Nguyen,Interior second derivative estimates for solutions to the linearized Monge-Ampère equation, Trans.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Gutiérrez and Truyen Nguyen,Interior second derivative estimates for solutions to the linearized Monge-Ampère equation, Trans

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:30.990486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3510bb70-efb3-4170-a5ea-e260f94254d4 · outbound

This paper cites J.173 (2024), no.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator J.173 (2024), no

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:30.749785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 839eaf5f-8370-4b53-93e9-87a9b50412bc · outbound

This paper cites Courant on his 60th Birthday, January 8, 1948, 1948, pp.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Courant on his 60th Birthday, January 8, 1948, 1948, pp

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:30.450625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0ae8c588-1b7c-46cc-9c11-3c7d1d68aeb0 · outbound

This paper cites 2, 373–391.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 2, 373–391

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:30.171377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8d7a6f88-1b60-427b-bef1-d72a319bd75b · outbound

This paper cites dissertation, New York University, New York, NY, 1998.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator dissertation, New York University, New York, NY, 1998

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:30.011861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dbdad03b-c3fc-44d0-b0d0-bf99bb8be8be · outbound

This paper cites 1, 43–56.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 1, 43–56

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:29.824612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2534eeb0-7c13-4cad-929e-6c31b684b7b3 · outbound

This paper cites 136, American Mathematical Soc., 2012.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 136, American Mathematical Soc., 2012

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:29.653787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f61eb62c-d302-4ae7-9e1f-ba2e7cf04d23 · outbound

This paper cites 134, North-Holland Publishing Co., Amsterdam, 1987.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 134, North-Holland Publishing Co., Amsterdam, 1987

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:29.563836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 131fd5be-123f-46a4-a27a-764862ab8d41 · outbound

This paper cites 3, 303–320.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 3, 303–320

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:29.447001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 53292b89-a823-45d1-b037-a22a0b15a71e · outbound

This paper cites Stampacchia, Formes bilinéaires coercitives sur les ensembles convexes, Comptes Rendus de l’Académie des Sciences Paris258 (1964), 4413–4416.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator Stampacchia, Formes bilinéaires coercitives sur les ensembles convexes, Comptes Rendus de l’Académie des Sciences Paris258 (1964), 4413–4416

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:29.329095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0451120-7cd6-4fa1-8472-b9155b0bb0c8 · outbound

This paper cites 3, 841–845.

$C^{1,\alpha}$ regularity of the solution for the obstacle problem for the linearized Monge-Amp\`ere operator 3, 841–845

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:37:29.178730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.