Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions | Paper Citation Record

Observation 4d8b5618-1330-42cf-af0f-9c791457024a · outbound

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

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Liouville property and regularity of a Hessian quotient equation

Reference 1

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This paper cites Asymptotic behavior of flows by powers of the Gaussian curvature.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Asymptotic behavior of flows by powers of the Gaussian curvature

Reference 2

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This paper cites AnextensiontoatheoremofJörgens,Calabi,andPogorelov.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions AnextensiontoatheoremofJörgens,Calabi,andPogorelov

Reference 3

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This paper cites A localization property of viscosity solutions to the Monge-Ampere equationandtheirstrictconvexity.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions A localization property of viscosity solutions to the Monge-Ampere equationandtheirstrictconvexity

Reference 4

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Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Unresolved cited work

Reference 5

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This paper cites Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens

Reference 6

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

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions A Liouville problem for the sigma-2 equation

Reference 7

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This paper cites The interiorC2 estimate for the Monge-Ampère equation in dimensionn= 2.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions The interiorC2 estimate for the Monge-Ampère equation in dimensionn= 2

Reference 8

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This paper cites A priori estimate for convex solutions to special Lagrangian equations and its application.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions A priori estimate for convex solutions to special Lagrangian equations and its application

Reference 9

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This paper cites Anintegralapproachtoprescribingscalarcurvature equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Anintegralapproachtoprescribingscalarcurvature equations

Reference 10

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Observation 17f7fdfa-ee2d-44fc-ad65-f28dad39bdc8 · outbound

This paper cites Complete affine hypersurfaces. I. The completeness of affine metrics.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Complete affine hypersurfaces. I. The completeness of affine metrics

Reference 11

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Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Unresolved cited work

Reference 12

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This paper cites Hessian estimates for the sigma-2 equation with variable right-hand side terms in dimension 4.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Hessian estimates for the sigma-2 equation with variable right-hand side terms in dimension 4

Reference 13

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This paper cites InteriorC2 regularity of convex solutions to prescribing scalar curvature equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions InteriorC2 regularity of convex solutions to prescribing scalar curvature equations

Reference 14

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This paper cites Guan and M.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Guan and M

Reference 15

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This paper cites A class of curvature type equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions A class of curvature type equations

Reference 16

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Observation fd5ec2f9-0b0c-4ddf-8ad1-00d02fc20073 · outbound

This paper cites On elliptic Monge-Ampère equations and Weyl’s embedding problem.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions On elliptic Monge-Ampère equations and Weyl’s embedding problem

Reference 17

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This paper cites Convexity estimates for mean curvature flow and singularities of mean convex surfaces.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Convexity estimates for mean curvature flow and singularities of mean convex surfaces

Reference 18

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This paper cites On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions

Reference 19

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This paper cites Interior Hessian estimates for Hessian quotient equations in dimension three.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Interior Hessian estimates for Hessian quotient equations in dimension three

Reference 20

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This paper cites Über die Lösungen der Differentialgleichungrt−s 2 = 1.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Über die Lösungen der Differentialgleichungrt−s 2 = 1

Reference 21

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This paper cites Curvature estimates for convex solutions of some fully nonlinear Hessian-type equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Curvature estimates for convex solutions of some fully nonlinear Hessian-type equations

Reference 22

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

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions An interior estimate for convex solutions and a rigidity theorem

Reference 23

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Observation 2e6cd714-6613-45fc-abe8-e4693d9a8a48 · outbound

This paper cites The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions The Pogorelov estimates for the sum Hessian equation with rigidity theorem and parabolic versions

Reference 24

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Observation 34e5d771-92e1-42a7-8671-a017bbb5f5cb · outbound

This paper cites InteriorC 2 estimate for Monge-Ampère equation in dimension two.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions InteriorC 2 estimate for Monge-Ampère equation in dimension two

Reference 25

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Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Pogorelov typeC2 estimates for sum Hessian equations and a rigidity theorem

Reference 26

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This paper cites Interior $C^2$ estimate for Hessian quotient equation in dimension three.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Interior $C^2$ estimate for Hessian quotient equation in dimension three

Reference 27

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This paper cites InteriorC2 estimate for Hessian quotient equation in general dimension.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions InteriorC2 estimate for Hessian quotient equation in general dimension

Reference 28

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This paper cites Lu and M.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Lu and M

Reference 29

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Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Unresolved cited work

Reference 30

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This paper cites Hessian estimates for convex solutions to quadratic Hessian equation.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Hessian estimates for convex solutions to quadratic Hessian equation

Reference 31

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This paper cites Strict 2-convexity of convex solutions to the quadratic Hessian equa- tion.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Strict 2-convexity of convex solutions to the quadratic Hessian equa- tion

Reference 32

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Observation 92d17510-fd0b-42ed-8bb6-4f52a944a08d · outbound

This paper cites On the improper convex affine hyperspheres.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions On the improper convex affine hyperspheres

Reference 33

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Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Unresolved cited work

Reference 34

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This paper cites Interior curvature estimates for hypersurfaces of prescribing scalar curva- ture in dimension three.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Interior curvature estimates for hypersurfaces of prescribing scalar curva- ture in dimension three

Reference 35

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This paper cites Interior Hessian estimates forσ2 equations in dimension three.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Interior Hessian estimates forσ2 equations in dimension three

Reference 36

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Observation f0d868bb-44c8-41c5-ba6b-ed7fa83f7724 · outbound

This paper cites A priori interior estimates for special Lagrangian curvature equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions A priori interior estimates for special Lagrangian curvature equations

Reference 37

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Observation b5935bc5-b88f-45eb-a08f-319d9f8b2472 · outbound

This paper cites A generalization of Newton-Maclaurin’s inequalities.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions A generalization of Newton-Maclaurin’s inequalities

Reference 38

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Observation 561c21b5-0967-47b6-a9f4-d95b7020e5b4 · outbound

This paper cites Hessian estimate for semiconvex solutions to the sigma-2 equation.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Hessian estimate for semiconvex solutions to the sigma-2 equation

Reference 39

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Observation b4631a0b-ece8-4ab8-86fa-50b1eb33e36a · outbound

This paper cites Hessian estimates for the sigma-2 equation in dimension four.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Hessian estimates for the sigma-2 equation in dimension four

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T17:47:46.950527Z

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Observation 391c43b8-b6ed-4c54-b4bd-5496f6222efd · outbound

This paper cites Rigidity for general semiconvex entire solutions to the sigma-2 equation.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Rigidity for general semiconvex entire solutions to the sigma-2 equation

Reference 41

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Observation d3841172-131f-48af-9cfd-900cb571bc1b · outbound

This paper cites Interior curvature bounds for a class of curvature equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Interior curvature bounds for a class of curvature equations

Reference 42

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This paper cites Geometric aspects of the theory of fully nonlinear elliptic equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Geometric aspects of the theory of fully nonlinear elliptic equations

Reference 43

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Observation 5ed5323f-d2f5-42ae-8e13-33369394e37e · outbound

This paper cites On the existence of nonclassical solutions for two classes of fully nonlinear elliptic equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions On the existence of nonclassical solutions for two classes of fully nonlinear elliptic equations

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T17:47:46.994255Z

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Observation f18f6987-edf2-44f4-bf7a-1c035f1765f3 · outbound

This paper cites Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions

Reference 45

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Observation a50d9ac4-ec38-4094-91cd-a0f9b05dd1ac · outbound

This paper cites Nonpolynomial entire solutions toσk equations.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Nonpolynomial entire solutions toσk equations

Reference 46

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This paper cites Hessian estimates for the sigma-2 equation in dimension 3.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Hessian estimates for the sigma-2 equation in dimension 3

Reference 47

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Observation 4c5b0d4d-d201-4c58-80ef-9bb0d916cb16 · outbound

This paper cites C2 estimates fork-Hessian equations and a rigidity theorem.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions C2 estimates fork-Hessian equations and a rigidity theorem

Reference 48

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Observation da7b0b6a-8775-4704-bf2d-9bcb50eb18e0 · outbound

This paper cites Notes on generalized special Lagrangian equation.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Notes on generalized special Lagrangian equation

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T17:47:47.044263Z

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Observation 66d8b987-56ad-426b-9afb-983206c1cfd1 · outbound

This paper cites Hessian estimates for Lagrangian mean curvature equation with sharp Lipschitz phase: X. Zhou.

Interior $C^{2}$ estimate for semi-convex solutions to a class of Hessian quotient equations in arbitrary dimensions Hessian estimates for Lagrangian mean curvature equation with sharp Lipschitz phase: X. Zhou

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T17:47:47.040152Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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