Global C2,α estimates for the Monge-Ampère equation on polygonal domains in the plane
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Publication:5877698
DOI10.1353/ajm.2023.0004OpenAlexW4318426901MaRDI QIDQ5877698
Publication date: 15 February 2023
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03541
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96)
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Cites Work
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- The Monge-Ampère equation and its applications
- Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- Boundary-value problems on \(S^ n\) for surfaces of constant Gauss curvature
- Elliptic partial differential equations of second order
- A localization theorem and boundary regularity for a class of degenerate Monge-Ampere equations
- Boundary regularity for the Monge-Ampère and affine maximal surface equations
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- The Dirichlet problem for Monge-Ampère equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY
- Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
- The Monge-Ampère equation