A best possible maximum principle and an overdetermined problem for a generalized Monge-Ampère equation

DOI10.1007/S12220-023-01500-WMaRDI QIDQ6143111

Ahmed Mohammed, Giovanni Porru

Publication date: 23 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère-type equationsP-functionbest possible maximum principleoverdetermined boundary-value problem

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Monge-Ampère equations (35J96) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Cites Work

• Unnamed Item
• Unnamed Item
• Curvature estimates for the level sets of solutions to the Monge-Ampère equation \(\mathrm{det}D^{2}u = 1\)
• The Monge-Ampère equation and its applications
• Best possible maximum principles for fully nonlinear elliptic partial differential equations
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• Maximum and minimum principles for a class of Monge-Ampère equations in the plane, with applications to surfaces of constant Gauss curvature
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• On the Hessian of a function and the curvature of its graph
• Isoperimetric inequalities for -Hessian equations
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• On new isoperimetric inequalities and symmetrization.
• Isoperimetric Inequalities and Their Applications

This page was built for publication: A best possible maximum principle and an overdetermined problem for a generalized Monge-Ampère equation