Paper Citation Record · LEDGER

On a continuity method for Dirichlet problem of Hessian equations

As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2606.12193.

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pith.paper-citation-record.v1
2606.12193 v1

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measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T08:56:17.633239Z

measured 37 of 37 standing notices

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Reference resolution

37 of 37 outbound references displayed

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Outbound references

Observation f021d194-492f-4c9e-8729-6164dfa53fed · outbound

This paper cites Springer Mono- graphs in Mathematics.

On a continuity method for Dirichlet problem of Hessian equations Springer Mono- graphs in Mathematics

Reference 1

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Observation f4cc251f-a45c-42a6-8f7f-d3f7a58cc5e1 · outbound

This paper cites The Dirichlet problem for nonlinear second-order elliptic equations.

On a continuity method for Dirichlet problem of Hessian equations The Dirichlet problem for nonlinear second-order elliptic equations

Reference 2

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Observation b65ca20c-9719-4af9-ac8c-be2845e96ee9 · outbound

This paper cites The space of K¨ ahler metrics.J.

On a continuity method for Dirichlet problem of Hessian equations The space of K¨ ahler metrics.J

Reference 3

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Observation 3e133c73-6666-482b-a773-b4fe3df94f27 · outbound

This paper cites Dinew and S.

On a continuity method for Dirichlet problem of Hessian equations Dinew and S

Reference 4

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Observation b6b48f5f-0a67-43a1-b7c5-2ed7af35ece5 · outbound

This paper cites Form-type Calabi-Yau equations.Math.

On a continuity method for Dirichlet problem of Hessian equations Form-type Calabi-Yau equations.Math

Reference 5

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Observation a35ac995-c56d-4ad8-8418-6ea61ae05f85 · outbound

This paper cites Trudinger.Elliptic partial differential equations of second order.

On a continuity method for Dirichlet problem of Hessian equations Trudinger.Elliptic partial differential equations of second order

Reference 6

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Observation dc70ff0a-9860-4aa9-ac7d-ac7ca4be6a47 · outbound

This paper cites The Dirichlet problem for a class of fully nonlinear elliptic equations.Comm.

On a continuity method for Dirichlet problem of Hessian equations The Dirichlet problem for a class of fully nonlinear elliptic equations.Comm

Reference 7

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Observation bdc1275d-53e4-4830-9e76-9d620f900e8c · outbound

This paper cites Complete conformal metrics of negative Ricci curvature on compact mani- folds with boundary.Int.

On a continuity method for Dirichlet problem of Hessian equations Complete conformal metrics of negative Ricci curvature on compact mani- folds with boundary.Int

Reference 8

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Observation df852679-ef24-42b6-a159-500dbc856726 · outbound

This paper cites Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds.Duke Math.

On a continuity method for Dirichlet problem of Hessian equations Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds.Duke Math

Reference 9

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Observation 415c6928-e662-43cd-875f-95991aa3be68 · outbound

This paper cites The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds.Adv.

On a continuity method for Dirichlet problem of Hessian equations The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds.Adv

Reference 10

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Observation fb207e82-4f21-4c30-85b7-7d1421f3193f · outbound

This paper cites Boundary-value problems onS n for surfaces of constant Gauss curvature.Ann.

On a continuity method for Dirichlet problem of Hessian equations Boundary-value problems onS n for surfaces of constant Gauss curvature.Ann

Reference 11

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Observation f0629795-3976-466e-af52-9922b7dff73a · outbound

This paper cites A class of curvature type equations.Pure Appl.

On a continuity method for Dirichlet problem of Hessian equations A class of curvature type equations.Pure Appl

Reference 12

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Observation 2eb70b8c-518e-46e8-a1e9-333000c98c11 · outbound

This paper cites Gursky and Jeff A.

On a continuity method for Dirichlet problem of Hessian equations Gursky and Jeff A

Reference 13

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Observation ac962a66-531c-4018-bfec-2c92009ea444 · outbound

This paper cites Reese Harvey and H.

On a continuity method for Dirichlet problem of Hessian equations Reese Harvey and H

Reference 14

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Observation a4b44880-1c11-4203-aa9c-b46092f6daee · outbound

This paper cites A second order estimate for complex Hessian equations on a compact K¨ ahler manifold.Math.

On a continuity method for Dirichlet problem of Hessian equations A second order estimate for complex Hessian equations on a compact K¨ ahler manifold.Math

Reference 15

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Observation 4632c091-3189-4ae6-83ca-971bcc0aa861 · outbound

This paper cites an unresolved cited work.

On a continuity method for Dirichlet problem of Hessian equations Unresolved cited work

Reference 16

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Observation 9c1aa3c2-143b-4a10-a6c3-70c2468b923c · outbound

This paper cites an unresolved cited work.

On a continuity method for Dirichlet problem of Hessian equations Unresolved cited work

Reference 17

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Observation 669f9ad9-f642-44eb-84e4-3c8d28b90c73 · outbound

This paper cites On some conformally invariant fully nonlinear equations.

On a continuity method for Dirichlet problem of Hessian equations On some conformally invariant fully nonlinear equations

Reference 18

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Observation 61ccbceb-bfe3-4559-888a-d3952b5091db · outbound

This paper cites On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian.Asian J.

On a continuity method for Dirichlet problem of Hessian equations On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian.Asian J

Reference 19

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Observation 3bdc4906-9059-4e92-aee1-9e436a9f49c3 · outbound

This paper cites Some existence results for fully nonlinear elliptic equations of Monge- Amp` ere type.Comm.

On a continuity method for Dirichlet problem of Hessian equations Some existence results for fully nonlinear elliptic equations of Monge- Amp` ere type.Comm

Reference 20

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Observation bc0acffe-708a-41f2-8d2a-5964cdb35fe6 · outbound

This paper cites Milnor.Topology from the differentiable viewpoint.

On a continuity method for Dirichlet problem of Hessian equations Milnor.Topology from the differentiable viewpoint

Reference 21

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Observation a25d8ed2-619e-472f-9c3b-d8502c919655 · outbound

This paper cites Aeppli cohomology classes associated with Gauduchon metrics on com- pact complex manifolds.Bull.

On a continuity method for Dirichlet problem of Hessian equations Aeppli cohomology classes associated with Gauduchon metrics on com- pact complex manifolds.Bull

Reference 22

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Observation e1d55235-c867-41f6-8f48-e875ace2fd52 · outbound

This paper cites Fully non-linear elliptic equations on compact Hermitian mani- folds.J.

On a continuity method for Dirichlet problem of Hessian equations Fully non-linear elliptic equations on compact Hermitian mani- folds.J

Reference 23

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Observation c00c6a1d-80a1-4ae9-bd35-995bdb8c32e7 · outbound

This paper cites Hermitian metrics, (n−1, n−1) forms and Monge-Amp` ere equations.J.

On a continuity method for Dirichlet problem of Hessian equations Hermitian metrics, (n−1, n−1) forms and Monge-Amp` ere equations.J

Reference 24

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Observation 1fc79042-d803-43c4-8227-1b0f1ddbd732 · outbound

This paper cites Trudinger.

On a continuity method for Dirichlet problem of Hessian equations Trudinger

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T08:56:17.633239Z

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Observation 7c870c63-b759-4ca2-b65b-f26c4d4d1d72 · outbound

This paper cites Hessian equations on compact Riemannian manifolds.

On a continuity method for Dirichlet problem of Hessian equations Hessian equations on compact Riemannian manifolds

Reference 26

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Observation 7cdd1d24-4eff-44a4-ba6b-27e226ceb0ac · outbound

This paper cites Regularity of fully non-linear elliptic equations on Hermitian manifolds.

On a continuity method for Dirichlet problem of Hessian equations Regularity of fully non-linear elliptic equations on Hermitian manifolds

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.238952Z

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Observation 3340958a-ddf4-40a4-8889-5ad97af2dcd7 · outbound

This paper cites Regularity of fully non-linear elliptic equations on Hermitian manifolds. II.

On a continuity method for Dirichlet problem of Hessian equations Regularity of fully non-linear elliptic equations on Hermitian manifolds. II

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.248321Z

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Observation 182c0101-b917-48ca-b766-1e5d9593f702 · outbound

This paper cites On the partial uniform ellipticity and complete conformal metrics with prescribed curvature functions on manifolds with boundary.

On a continuity method for Dirichlet problem of Hessian equations On the partial uniform ellipticity and complete conformal metrics with prescribed curvature functions on manifolds with boundary

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.248945Z

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Observation d0b286e4-0569-4e94-bfdc-d363e1287913 · outbound

This paper cites The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics.

On a continuity method for Dirichlet problem of Hessian equations The partial uniform ellipticity and prescribed problems on the conformal classes of complete metrics

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.236870Z

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Observation a52c7e46-49c2-4341-a667-7642fb63d263 · outbound

This paper cites An extension of prescribed problems on the conformal classes of complete metrics.

On a continuity method for Dirichlet problem of Hessian equations An extension of prescribed problems on the conformal classes of complete metrics

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.230189Z

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Observation e11788f7-0da1-4daf-bbbe-a92c35862586 · outbound

This paper cites Fully non-linear elliptic equations on complex manifolds.

On a continuity method for Dirichlet problem of Hessian equations Fully non-linear elliptic equations on complex manifolds

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.223290Z

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Observation 2c5ec6d8-d0de-485d-968a-9ecab1e819de · outbound

This paper cites Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds.

On a continuity method for Dirichlet problem of Hessian equations Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.235771Z

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Observation 8840bd21-faa7-47b7-828f-11e11b6660e7 · outbound

This paper cites Notes on conformal metrics of negative curvature on manifolds with boundary.J.

On a continuity method for Dirichlet problem of Hessian equations Notes on conformal metrics of negative curvature on manifolds with boundary.J

Reference 34

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Observation 762d9c5e-e17c-4387-9e79-7de1a76c3344 · outbound

This paper cites The structure of fully nonlinear equations and its applications to prescribed problems on complete conformal metrics.

On a continuity method for Dirichlet problem of Hessian equations The structure of fully nonlinear equations and its applications to prescribed problems on complete conformal metrics

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.245542Z

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Observation ca425533-b796-4e5b-ac0c-fcc3efac25fc · outbound

This paper cites The Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds.Proc.

On a continuity method for Dirichlet problem of Hessian equations The Dirichlet problem for degenerate fully nonlinear elliptic equations on Riemannian manifolds.Proc

Reference 36

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Observation f410cd1e-21f8-4d9c-ba46-8c930bef5b55 · outbound

This paper cites The existence of negatively curved metrics on locally conformally flat manifolds with boundary.arXiv:2510.17536, 2025.

On a continuity method for Dirichlet problem of Hessian equations The existence of negatively curved metrics on locally conformally flat manifolds with boundary.arXiv:2510.17536, 2025

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:38:07.242265Z

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