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Paper Citation Record · LEDGER

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space

As of 15 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2505.22339.

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pith.paper-citation-record.v1
2505.22339 v3

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measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T13:20:39.509633Z

measured 33 of 33 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

33 of 33 outbound references displayed

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External citation measurements

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Outbound references

Observation 16627bb3-054c-4b86-bdea-5b2349707906 · outbound

This paper cites Bartnik and L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Bartnik and L

Reference 1

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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.

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Observation 866106bb-4ef9-43c7-ab03-1a61c68b9618 · outbound

This paper cites Bayard,Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in Rn,1, Calc.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Bayard,Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in Rn,1, Calc

Reference 2

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

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Observation a422e0d5-faef-40c1-a88d-cef5555c99af · outbound

This paper cites Caffarelli, L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Caffarelli, L

Reference 3

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Observation b74bb07d-72e1-401f-ba13-fa4f08053806 · outbound

This paper cites Caffarelli, L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Caffarelli, L

Reference 4

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

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Observation d6c3714d-2a93-46dc-85f6-a34c674e39d9 · outbound

This paper cites Caffarelli, L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Caffarelli, L

Reference 5

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

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Observation a264d48f-ec15-48da-904b-a58315f60306 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 6

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

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Observation ca4831a0-f8cd-48dc-877d-b786e652e4c7 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 7

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Observation 1d2fdc18-2563-49be-8ee1-c2ca3781ec9c · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 8

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

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Observation 1da927f7-b019-4878-818f-99165b108db0 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 9

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

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Observation 85c4d678-cd21-4859-b91d-90f2a202ad90 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 10

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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.

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Observation c500e17c-e263-490f-a363-bf3623535ff3 · outbound

This paper cites Delano` e,The Dirichlet problem for an equation of given Lorentz-Gaussian curvature, Ukrain.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Delano` e,The Dirichlet problem for an equation of given Lorentz-Gaussian curvature, Ukrain

Reference 11

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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.

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Observation 88407d61-b529-484c-9111-858bff2ca6bd · outbound

This paper cites Guan,The Dirichlet problem for Monge-Amp` ere equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature, Trans.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guan,The Dirichlet problem for Monge-Amp` ere equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature, Trans

Reference 12

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verified fuzzy
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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.

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Observation 4fea166f-06b9-46ad-8c33-855952251691 · outbound

This paper cites Guan,Second order estimates and regularity for fully nonlinear ellitpic equations on Riemannian manifolds, Duke Math.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guan,Second order estimates and regularity for fully nonlinear ellitpic equations on Riemannian manifolds, Duke Math

Reference 13

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

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Observation dcc01008-bb48-458f-a61d-107bd1d85f2f · outbound

This paper cites Guan and J.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guan and J

Reference 14

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verified fuzzy
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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.

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Observation cf9297ad-6293-4c05-9c70-e73f282d7f24 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 15

Resolution
unresolved
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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.

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Observation afd830c9-4659-477d-9673-1e76dfc354d9 · outbound

This paper cites Guo and H.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guo and H

Reference 16

Resolution
verified fuzzy
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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.

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Observation 6812974b-5efe-4620-8b68-bd2155692d33 · outbound

This paper cites Ivochkina,Solution of the Dirichlet problem for equations ofm-th order curvature.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ivochkina,Solution of the Dirichlet problem for equations ofm-th order curvature

Reference 17

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

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Observation e8b99077-41f9-47b2-9573-f80cd135023d · outbound

This paper cites Ivochkina,The Dirichlet problem for the curvature equation of orderm, Algebra i Analiz 2(1990), 192–217; translation in Leningrad Math.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ivochkina,The Dirichlet problem for the curvature equation of orderm, Algebra i Analiz 2(1990), 192–217; translation in Leningrad Math

Reference 18

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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.

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Observation dd876fad-ba58-48bd-993e-a10053c7c950 · outbound

This paper cites Ivochkina, M.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ivochkina, M

Reference 19

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verified fuzzy
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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.

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Observation 62a664ba-44fd-4e78-821f-fee582ce5c14 · outbound

This paper cites Jiao and J.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Jiao and J

Reference 20

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verified fuzzy
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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.

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Observation 50d21b91-406c-45ae-aff8-6ac0317d456c · outbound

This paper cites Jiao and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Jiao and Z

Reference 21

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raw_fallback, observed 2026-08-07T13:20:41.882056Z

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.

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Observation f8a9c669-5273-4ae7-a072-54a0b270f715 · outbound

This paper cites Jiao and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Jiao and Z

Reference 22

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

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Observation d713da8e-5ef2-4296-b44d-079e854db540 · outbound

This paper cites Lin and N.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Lin and N

Reference 23

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

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Observation 6cf4af26-8346-46b3-af22-ab1cfa65f8f5 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 24

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

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Observation c2deb11c-cda4-4049-a992-909309ed1030 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 25

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raw_fallback, observed 2026-08-07T13:20:41.110713Z

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

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Observation 648d72e1-4ea2-4dd4-bd5c-fe271df3ef22 · outbound

This paper cites Ren and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ren and Z

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-07T13:20:40.957495Z

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.

source=pdf_text observed=2026-08-07T13:20:38.722095Z digest=sha256:0c1aa38aec7a3680a69807b7a702719ee05cb58af49ae82a48be7628eaf62037

Observation 8d0996d8-81bb-4911-898e-12eb7750f55f · outbound

This paper cites Ren and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ren and Z

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-07T13:20:40.763062Z

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.

source=pdf_text observed=2026-08-07T13:20:38.839646Z digest=sha256:5c26976b34cd701f515abc4437969df3fb0dc6117e6ac181399266d5850eaa26

Observation 3204c5ab-6036-45d2-9b80-dc8fd17f785a · outbound

This paper cites Spruck,Geometric aspects of the theory of fully nonlinear elliptic equations, Clay Mathe- matics Proceedings,2(2005), 283–309.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Spruck,Geometric aspects of the theory of fully nonlinear elliptic equations, Clay Mathe- matics Proceedings,2(2005), 283–309

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-07T13:20:40.620283Z

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.

source=pdf_text observed=2026-08-07T13:20:38.971823Z digest=sha256:e03970ef74a1cabc7894ef394d120f683fb95a30d01582609940da1409d3dfa3

Observation aecb7a80-c7bc-4dc7-b2ab-23b7161b5bc6 · outbound

This paper cites Urbas,The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space, Calc.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Urbas,The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space, Calc

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:20:40.417206Z

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.

source=pdf_text observed=2026-08-07T13:20:39.060587Z digest=sha256:fe2843c85fed1a85b9c4ef795f703878ab0e0b506a826156740d17dc08a091c9

Observation 45d23daa-bc60-4e47-84d2-2489aac76897 · outbound

This paper cites Urbas,Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean cur- vature, Comm.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Urbas,Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean cur- vature, Comm

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:20:40.236664Z

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.

source=pdf_text observed=2026-08-07T13:20:39.209946Z digest=sha256:f9e622e67f447aab1a07fdbda1521c06439f36eff5881e4d48f3b7f4d4b07c58

Observation ccb613cc-e6e0-4783-a43e-97846c030878 · outbound

This paper cites Wang,The Dirichlet problem for the prescribed curvature equations in Minkowski space, J.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Wang,The Dirichlet problem for the prescribed curvature equations in Minkowski space, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:20:40.026477Z

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.

source=pdf_text observed=2026-08-07T13:20:39.347535Z digest=sha256:611ee63c3230a06b3fd017bd4015dce067d387279b2e5ea78e03b2e63fc4c252

Observation 5f87cb47-ead1-4c24-b9af-8bf2c7ba1645 · outbound

This paper cites Wang,The global curvature estimates for Hessian equations, Proceedings of the Interna- tional Consortium of Chinese Mathematicians 2018 (2020), 367–384.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Wang,The global curvature estimates for Hessian equations, Proceedings of the Interna- tional Consortium of Chinese Mathematicians 2018 (2020), 367–384

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:20:39.800393Z

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.

source=pdf_text observed=2026-08-07T13:20:39.402118Z digest=sha256:1a6a45cc685ac31cc1edbd00b8ef3dd5d651dd7502687f8ce0c3636f4321c208

Observation 7f1118fc-45c0-43ce-8a0c-ceca52c40813 · outbound

This paper cites Zhou,Curvature estimates for a class of Hessian quotient type curvature equations, Calc.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Zhou,Curvature estimates for a class of Hessian quotient type curvature equations, Calc

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:20:39.662166Z

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.

source=pdf_text observed=2026-08-07T13:20:39.509633Z digest=sha256:001e59343d573ca461e9f50526528ad76434429c82095e0858b93562116aafe2

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