Paper Citation Record · LEDGER

Liouville Rigidity for Real and Complex Degenerate Hessian Equations

As of 9 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2607.21024.

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2607.21024 v1

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Outbound references

Observation 4b46332c-6a4a-47b6-80c7-08c9d3c87029 · outbound

This paper cites Fundamental solutions of homogeneous fully nonlinear elliptic equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Fundamental solutions of homogeneous fully nonlinear elliptic equations

Reference 1

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Observation 64018951-67bf-49d9-b35f-89f5c111311f · outbound

This paper cites Liouville property and regularity of a Hessian quotient equation.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Liouville property and regularity of a Hessian quotient equation

Reference 2

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Observation 5258e98d-3f3e-4088-b42c-d696403bfb1f · outbound

This paper cites The Dirichlet problem for nonlin- ear second-order elliptic equations. I. Monge-Ampère equation.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Dirichlet problem for nonlin- ear second-order elliptic equations. I. Monge-Ampère equation

Reference 3

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Observation 9571dc2e-dc42-4525-a532-dd1e94713a23 · outbound

This paper cites The Dirichlet problem for non- linear second-order elliptic equations. III. Functions of the eigenvalues of the Hessian.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Dirichlet problem for non- linear second-order elliptic equations. III. Functions of the eigenvalues of the Hessian

Reference 4

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Observation bcccb7a0-4849-451d-a4d1-513b5d45bb66 · outbound

This paper cites The Dirichlet problem for nonlinear second-order elliptic equations. II. Complex Monge-Ampère, and uniformly elliptic, equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Dirichlet problem for nonlinear second-order elliptic equations. II. Complex Monge-Ampère, and uniformly elliptic, equations

Reference 5

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Observation 6d075a52-8872-4a3c-aeaa-666d925085ac · outbound

This paper cites Caffarelli and Xavier Cabré.Fully nonlinear elliptic equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Caffarelli and Xavier Cabré.Fully nonlinear elliptic equations

Reference 6

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Observation e631f97e-a537-47f5-8628-e012f9058e1b · outbound

This paper cites A Liouville problem for the sigma- 2 equation.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations A Liouville problem for the sigma- 2 equation

Reference 7

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Observation f214ed4e-4484-41db-90ed-35ad4cf32cec · outbound

This paper cites Liouville theorems for conformally invariant fully nonlinear equations. I.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Liouville theorems for conformally invariant fully nonlinear equations. I

Reference 8

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Observation 13aa3ac8-bb2d-4ca3-a3d0-1293c6dc07fb · outbound

This paper cites User’s guide to viscosity solutions of second order partial differential equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations User’s guide to viscosity solutions of second order partial differential equations

Reference 9

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Observation d42da51e-a190-4e4e-8f96-fe37c8d50a5a · outbound

This paper cites All convex invariant functions of hermitian matrices.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations All convex invariant functions of hermitian matrices

Reference 10

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Observation 30909c5d-fa88-497b-af62-86bbb67a039f · outbound

This paper cites Liouville and Calabi-Yau type theorems for complex Hessian equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Liouville and Calabi-Yau type theorems for complex Hessian equations

Reference 11

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Observation 44d1c921-901d-4576-a84a-ac920eafc491 · outbound

This paper cites Onafullynonlinearellipticequationwithdifferential forms.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Onafullynonlinearellipticequationwithdifferential forms

Reference 12

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Observation 08e936df-69a9-44dd-bd3c-796a73100e0c · outbound

This paper cites Gårding Polynomials.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Gårding Polynomials

Reference 13

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Observation c279577d-2ee6-411e-bef0-ff55857bc445 · outbound

This paper cites Ideal G{\aa}rding polynomials.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Ideal G{\aa}rding polynomials

Reference 14

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Observation 86a4ef96-8da4-46cc-a4a7-f6bedfe1bdd4 · outbound

This paper cites The Critical LYZ Equation in K\"ahler Geometry.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Critical LYZ Equation in K\"ahler Geometry

Reference 15

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Observation d469acfa-4dd2-4b1a-8191-fbd170828b27 · outbound

This paper cites TheexteriorDirichletproblem for the homogeneous complexk-Hessian equation.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations TheexteriorDirichletproblem for the homogeneous complexk-Hessian equation

Reference 16

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Observation 307c8e65-f989-42ce-921a-98c66f2c8b9e · outbound

This paper cites Second-order estimates and regularity for fully nonlinear ellip- tic equations on Riemannian manifolds.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Second-order estimates and regularity for fully nonlinear ellip- tic equations on Riemannian manifolds

Reference 17

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Observation 4c0c658c-b8c5-43b1-b40b-aa4a22ff8df8 · outbound

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

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds

Reference 18

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Observation aef05329-b251-4db0-a06e-52fdffd38879 · outbound

This paper cites The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Dirichlet problem for a complex Monge-Ampère type equation on Hermitian manifolds

Reference 19

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Observation c227b60b-3d20-4948-8b38-b502e9a77b3a · outbound

This paper cites On a class of fully nonlinear elliptic equations on Her- mitian manifolds.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations On a class of fully nonlinear elliptic equations on Her- mitian manifolds

Reference 20

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Observation bf945acb-74ca-424f-b29c-666f18f6dc96 · outbound

This paper cites A class of curvature type equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations A class of curvature type equations

Reference 21

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Observation db48fd37-18ab-4d1c-a0dd-41cbb83cb285 · outbound

This paper cites Tangents to subsolutions: existence and uniqueness, Part I.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Tangents to subsolutions: existence and uniqueness, Part I

Reference 22

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Observation 97200791-879a-49c8-ac7f-2dfeb8ff8f7e · outbound

This paper cites Dirichletdualityandthenonlinear Dirichlet problem.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Dirichletdualityandthenonlinear Dirichlet problem

Reference 23

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Observation 761f5935-1d88-4c86-b9bd-bfb6ad51f895 · outbound

This paper cites Dirichletdualityandthenonlinear Dirichlet problem on Riemannian manifolds.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Dirichletdualityandthenonlinear Dirichlet problem on Riemannian manifolds

Reference 24

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Observation 37f5843f-e0dd-4023-9e80-2878ce4a6cf1 · outbound

This paper cites The Restriction Theorem for Fully Nonlinear Subequations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Restriction Theorem for Fully Nonlinear Subequations

Reference 26

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Liouville Rigidity for Real and Complex Degenerate Hessian Equations Unresolved cited work

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Observation 35b3deaa-0263-40e0-b54e-439a7e3e0ccb · outbound

This paper cites A second order estimate for complex Hessian equations on a compact Kähler manifold.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations A second order estimate for complex Hessian equations on a compact Kähler manifold

Reference 28

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Observation d3e0d330-a8ac-4c85-89b6-164526767bfc · outbound

This paper cites Existence of entire solutions to the Monge- Ampère equation.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Existence of entire solutions to the Monge- Ampère equation

Reference 29

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Observation 20138d30-c2fb-4628-9212-98cd5a588116 · outbound

This paper cites A Liouville theorem for solutions of degen- erate Monge-Ampère equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations A Liouville theorem for solutions of degen- erate Monge-Ampère equations

Reference 30

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Observation c84b5791-1a64-4ab9-b1cb-ae34227d33c7 · outbound

This paper cites Isolated singularities for fully nonlinear elliptic equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Isolated singularities for fully nonlinear elliptic equations

Reference 31

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Observation 2b4efafb-f61c-414c-a69e-6e4ac88ac04f · outbound

This paper cites On some conformally invariant fully nonlinear equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations On some conformally invariant fully nonlinear equations

Reference 32

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Observation dd6809d6-0ef0-44ea-9368-470aa45c8973 · outbound

This paper cites An interior estimate for convex solutions and a rigidity theorem.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations An interior estimate for convex solutions and a rigidity theorem

Reference 33

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Observation ef7e5f54-f0c2-4394-af74-1db888705e71 · outbound

This paper cites Local gradient estimates of solutions to some conformally invari- ant fully nonlinear equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Local gradient estimates of solutions to some conformally invari- ant fully nonlinear equations

Reference 34

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Observation 99a7b2f1-1bc5-44d6-9309-dbf3cddf06bf · outbound

This paper cites Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations

Reference 35

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Observation de9d639e-385f-4bc8-b27b-e3070403e056 · outbound

This paper cites Towards a Liouville theorem for continuousviscositysolutionstofullynonlinearellipticequationsinconformal geometry.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Towards a Liouville theorem for continuousviscositysolutionstofullynonlinearellipticequationsinconformal geometry

Reference 36

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Observation 68ed2ef9-3b9f-44cc-9910-9d0d789dabdf · outbound

This paper cites On the convexity of general inverseσ k equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations On the convexity of general inverseσ k equations

Reference 37

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This paper cites Corrigendum to “On the convexity of general inverse sigma-k equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Corrigendum to “On the convexity of general inverse sigma-k equations

Reference 38

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Observation 58bf4f7a-7280-4df3-ba9e-4b3095de294f · outbound

This paper cites The Neumann problem for Hessian equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Neumann problem for Hessian equations

Reference 39

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Observation 15df0de7-2ff8-4b2b-9dff-388c19ee534e · outbound

This paper cites On uniform estimate of complex elliptic equations on closed Her- mitian manifolds.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations On uniform estimate of complex elliptic equations on closed Her- mitian manifolds

Reference 40

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Observation d80910b9-69b0-4c14-92aa-dde4ef5b8f5e · outbound

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

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Fully non-linear elliptic equations on compact Hermitian manifolds

Reference 41

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Observation 4e7429ea-6572-4067-8f14-19d813c3b4dd · outbound

This paper cites The Monge-Ampère equation for(n− 1)-plurisubharmonic functions on a compact Kähler manifold.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations The Monge-Ampère equation for(n− 1)-plurisubharmonic functions on a compact Kähler manifold

Reference 42

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This paper cites On the Dirichlet problem for Hessian equations.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations On the Dirichlet problem for Hessian equations

Reference 43

Resolution: verified exact; doi, observed 2026-08-01T08:58:19.689829Z

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Observation ff7ba24a-eb22-4f6f-9a5c-4bdded2ab9f5 · outbound

This paper cites Hessian measures. I.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Hessian measures. I

Reference 44

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T08:58:19.630781Z

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Observation 348f89fd-f0fa-490f-9755-98e93c8e2833 · outbound

This paper cites Hessian measures. II.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Hessian measures. II

Reference 45

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Observation 38e9e7c3-0bd4-4125-9815-b0caa96c4930 · outbound

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Liouville Rigidity for Real and Complex Degenerate Hessian Equations Hessian measures. III

Reference 46

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Observation ed4d3204-bc4f-4952-90f9-58b90736d9a5 · outbound

This paper cites A class of fully nonlinear elliptic equations and related func- tionals.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations A class of fully nonlinear elliptic equations and related func- tionals

Reference 47

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Observation d62db74f-4c4a-476a-bc5d-be7e07d4060c · outbound

This paper cites Hessian equations on closed Hermitian manifolds.

Liouville Rigidity for Real and Complex Degenerate Hessian Equations Hessian equations on closed Hermitian manifolds

Reference 48

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