The interior \(C^2\) estimate for the Monge-Ampère equation in dimension \(n = 2\)

DOI10.2140/APDE.2016.9.1419zbMath1353.35175arXiv1512.01146OpenAlexW3102073546MaRDI QIDQ325826

Mohammad Hasan, M. Dambrine

Publication date: 11 October 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01146

zbMATH Keywords

Monge-Ampère equation\(\sigma^2\)-Hessian equationinterior \(C^2\) a priori estimateoptimal concavity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96)

Related Items (4)

On interior \(C^2\)-estimates for the Monge-Ampère equation ⋮ The interior C2 estimate for equation detD2u = f(x,∇u) in dimension two ⋮ Interior $C^2$ estimate for Monge-Ampère equation in dimension two ⋮ Interior \(C^2\) regularity of convex solutions to prescribing scalar curvature equations

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