SOME MAXIMUM PRINCIPLES AND SYMMETRY RESULTS FOR A CLASS OF BOUNDARY VALUE PROBLEMS INVOLVING THE MONGE-AMPÈRE EQUATION

DOI10.1142/S0218202501001240zbMath1290.35022OpenAlexW2076998109MaRDI QIDQ4798900

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501001240

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (8)

Best possible maximum principles for fully nonlinear elliptic partial differential equations ⋮ Maximum principles and symmetry results for a class of fully nonlinear elliptic PDEs ⋮ Maximum principles and isoperimetric inequalities for some Monge-Ampère-type problems ⋮ Maximum and minimum principles for a class of Monge-Ampère equations in the plane, with applications to surfaces of constant Gauss curvature ⋮ Characterization of ellipsoids through an overdetermined boundary value problem of Monge-Ampère type ⋮ On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain ⋮ A note on Monge-Ampère equation in \(\mathbb{R}^2\) ⋮ A maximum principle for some fully nonlinear elliptic equations with applications to Weingarten hypersurfaces

Cites Work

A necessary condition of solvability for the capillarity boundary of Monge-Ampere equations in two dimensions

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