Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation

DOI10.1090/S0894-0347-2012-00747-4zbMath1275.35115arXiv1101.5436MaRDI QIDQ4922271

Ovidiu V. Savin

Publication date: 29 May 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5436

zbMATH Keywords

regularityMonge-Ampère equationSchauder estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monge-Ampère equations (35J96)

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Cites Work

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• Some minimization problems in the class of convex functions with prescribed determinant
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
• Boundary regularity for the Monge-Ampère and affine maximal surface equations
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY
• A localization property at the boundary for the Monge-Ampere equation
• Continuity Estimates for the Monge–Ampère Equation

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