Paper Citation Record · LEDGER

Regularity for convex viscosity solutions of $\sigma_2$ Equation

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2605.30823.

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pith.paper-citation-record.v1
2605.30823 v2

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measured 40 of 40 reference resolution

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40 of 40 outbound references displayed

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Outbound references

Observation 9abbce1a-748c-430b-b3e6-4e6b0710ec41 · outbound

This paper cites an unresolved cited work.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Unresolved cited work

Reference 1

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Observation cbf4ad53-e4b2-414e-840f-edaec9bbb9a8 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation The D irichlet problem for nonlinear second-order elliptic equations

Reference 2

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Observation a8a9a650-4506-401d-8080-de8530042140 · outbound

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Regularity for convex viscosity solutions of $\sigma_2$ Equation Unresolved cited work

Reference 3

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Observation 88ba3d96-f473-4adb-bdd5-b0004175790b · outbound

This paper cites An integral approach to prescribing scalar curvature equations.

Regularity for convex viscosity solutions of $\sigma_2$ Equation An integral approach to prescribing scalar curvature equations

Reference 4

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Observation d740529b-2203-4b2b-a08a-e2781ba6bd4c · outbound

This paper cites Global regularity for the Monge-Amp\`ere equation with natural boundary condition.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Global regularity for the Monge-Amp\`ere equation with natural boundary condition

Reference 5

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Observation b43d7972-7231-4a78-ab5d-4ce38adf06ee · outbound

This paper cites On the regularity of the solution of the n dimensional minkowski problem.

Regularity for convex viscosity solutions of $\sigma_2$ Equation On the regularity of the solution of the n dimensional minkowski problem

Reference 6

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Observation 870d843f-fc3b-4af8-8b20-b629ab5cbf10 · outbound

This paper cites A variational theory of the H essian equation.

Regularity for convex viscosity solutions of $\sigma_2$ Equation A variational theory of the H essian equation

Reference 7

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Observation 5e9a07d7-3da4-43a7-be82-bed211020b64 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation Hessian estimates for the sigma-2 equation with variable right-hand side terms in dimension 4

Reference 8

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Observation 367dfa46-9f37-4009-8d0e-6f611ade3c27 · outbound

This paper cites Convex hypersurfaces of prescribed curvatures.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Convex hypersurfaces of prescribed curvatures

Reference 9

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Observation 40d263e4-4250-409b-810a-82183c032450 · outbound

This paper cites Hypersurfaces of prescribed curvature measure.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Hypersurfaces of prescribed curvature measure

Reference 10

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Observation fc4f10b6-4f87-4960-ae17-2f3197bcb9cb · outbound

This paper cites Interior C^2 regularity of convex solutions to prescribing scalar curvature equations.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Interior C^2 regularity of convex solutions to prescribing scalar curvature equations

Reference 11

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Observation 0503666f-4a1e-4feb-a72b-bbac549adf04 · outbound

This paper cites Global C^2 -estimates for convex solutions of curvature equations.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Global C^2 -estimates for convex solutions of curvature equations

Reference 12

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Observation dc5db849-7891-475a-9677-4c0fcc2c7561 · outbound

This paper cites On elliptic M onge- A mp\`ere equations and W eyl's embedding problem.

Regularity for convex viscosity solutions of $\sigma_2$ Equation On elliptic M onge- A mp\`ere equations and W eyl's embedding problem

Reference 13

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Observation cdc9a3c0-a77f-4aef-8735-04e5921925d6 · outbound

This paper cites Viscosity solutions of fully nonlinear second-order elliptic partial differential equations.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

Reference 14

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Observation 10f0dc3d-5426-44d2-a94c-8498b87871a4 · outbound

This paper cites Boundary C^ 2, regularity for the oblique boundary value problem of Monge-Amp\`ere equations.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Boundary C^ 2, regularity for the oblique boundary value problem of Monge-Amp\`ere equations

Reference 15

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Observation d58629ea-f688-4ba4-a842-27e3e17aa24d · outbound

This paper cites Continuity estimates for the M onge- A mp\`ere equation.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Continuity estimates for the M onge- A mp\`ere equation

Reference 16

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Observation da95ca59-1212-4003-908f-3e33eeb0f979 · outbound

This paper cites Continuity estimates for the gradient of solutions to the M onge- A mp\`ere equation with natural boundary condition.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Continuity estimates for the gradient of solutions to the M onge- A mp\`ere equation with natural boundary condition

Reference 17

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Observation 22af1b80-3241-4da8-b920-b6504c3a77ac · outbound

This paper cites Pogorelov type interior C^ 2 estimate for H essian quotient equation and its application.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Pogorelov type interior C^ 2 estimate for H essian quotient equation and its application

Reference 18

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Observation 1f20a9c3-e9c3-41e3-b113-cd5257015f5b · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation Hessian estimates for convex solutions to quadratic H essian equation

Reference 19

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Observation 1e309f70-e626-49c7-b27e-147c1b2d9777 · outbound

This paper cites Strict 2-convexity of convex solutions to the quadratic H essian equation.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Strict 2-convexity of convex solutions to the quadratic H essian equation

Reference 20

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Observation fbf2faf9-cc9d-4820-b812-1b97b05f3fa4 · outbound

This paper cites The W eyl and M inkowski problems in differential geometry in the large.

Regularity for convex viscosity solutions of $\sigma_2$ Equation The W eyl and M inkowski problems in differential geometry in the large

Reference 21

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Observation 49f3bab4-c997-4afc-9e44-92510665ce06 · outbound

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Regularity for convex viscosity solutions of $\sigma_2$ Equation Unresolved cited work

Reference 22

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Observation 236c3a55-80f7-4c71-8ab3-fb2b5cb57bd8 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three

Reference 23

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Observation a34ba3cb-2f5a-44cd-beda-c02de85e89b0 · outbound

This paper cites Interior H essian estimates for _2 equations in dimension three.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Interior H essian estimates for _2 equations in dimension three

Reference 24

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Observation c558d73a-d96c-483b-9e28-acb908cf9f59 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation A priori interior estimates for special Lagrangian curvature equations

Reference 25

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Observation 1ddd4931-fef9-4943-bfdb-f4dd64d5b63a · outbound

This paper cites Pointwise C^ 2, estimates at the boundary for the Monge-Amp\`ere equation.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Pointwise C^ 2, estimates at the boundary for the Monge-Amp\`ere equation

Reference 26

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Observation aa696c7d-d2f4-4e25-8c72-b5c12a5e1834 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation Hessian estimate for semiconvex solutions to the sigma-2 equation

Reference 27

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Observation f6ab382f-13bd-4852-8809-cb3aa77c46c3 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation Hessian estimates for the sigma-2 equation in dimension four

Reference 28

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Observation 78d74e36-e4df-4670-9c42-e11ab4378537 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation Interior curvature bounds for a class of curvature equations

Reference 29

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Regularity for convex viscosity solutions of $\sigma_2$ Equation Unresolved cited work

Reference 30

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Observation 8d03dbc1-2725-4720-98fb-47c5d9df0f3d · outbound

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Regularity for convex viscosity solutions of $\sigma_2$ Equation Unresolved cited work

Reference 31

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Observation 4eeca34b-8e13-4eff-a69c-4c66331eec71 · outbound

This paper cites S., and Wang, X.-J.

Regularity for convex viscosity solutions of $\sigma_2$ Equation S., and Wang, X.-J

Reference 32

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Observation ff806bf7-7124-4621-9e26-4a6c9ef6d38a · outbound

This paper cites S., Wang, X.-J.

Regularity for convex viscosity solutions of $\sigma_2$ Equation S., Wang, X.-J

Reference 33

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Observation d6ac1aab-81e3-4f41-a666-4aaa48efd085 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation On the existence of nonclassical solutions for two classes of fully nonlinear elliptic equations

Reference 34

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Observation 03c0b970-5249-4a46-befa-3a58c42d7ace · outbound

This paper cites Some interior regularity results for solutions of H essian equations.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Some interior regularity results for solutions of H essian equations

Reference 35

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This paper cites An interior second derivative bound for solutions of H essian equations.

Regularity for convex viscosity solutions of $\sigma_2$ Equation An interior second derivative bound for solutions of H essian equations

Reference 36

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Regularity for convex viscosity solutions of $\sigma_2$ Equation Unresolved cited work

Reference 37

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Observation 35cbf2d2-470b-4926-ae70-09c6927ea1b8 · outbound

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Regularity for convex viscosity solutions of $\sigma_2$ Equation Unresolved cited work

Reference 38

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Observation 632f2aec-e23f-4a74-8e65-c6d89bfcac53 · outbound

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

Regularity for convex viscosity solutions of $\sigma_2$ Equation Hessian estimates for the sigma-2 equation in dimension 3

Reference 39

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Observation 498e02dd-75e1-4f57-af57-01bdb1e8ffb3 · outbound

This paper cites Notes on generalized special Lagrangian equation.

Regularity for convex viscosity solutions of $\sigma_2$ Equation Notes on generalized special Lagrangian equation

Reference 40

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