Maximum and minimum principles for a class of Monge-Ampère equations in the plane, with applications to surfaces of constant Gauss curvature

DOI10.3934/cpaa.2014.13.1347zbMath1287.35045OpenAlexW2319062123MaRDI QIDQ2438958

Cristian Enache

Publication date: 7 March 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.1347

zbMATH Keywords

maximum principlesoverdetermined problemsisoperimetric estimatesMonge-Ampère problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Maximum principles in context of PDEs (35B50) Monge-Ampère equations (35J96)

Related Items (5)

A best possible maximum principle and an overdetermined problem for a generalized Monge-Ampère equation ⋮ Maximum principles and overdetermined problems for Hessian equations ⋮ On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain ⋮ Minimum principles and a priori estimates for some translating soliton type problems ⋮ A note on Monge-Ampère equation in \(\mathbb{R}^2\)

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