Some applications of the maximum principle to a variety of fully nonlinear elliptic PDE's

DOI10.1007/s00033-003-3200-7zbMath1099.35506OpenAlexW2056762772MaRDI QIDQ1417458

G. A. Philippin, A. Safoui

Publication date: 5 January 2004

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-003-3200-7

zbMATH Keywords

Weingarten surfacesMaximum principlesCalabi's equation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Related Items (11)

Serrin-Type Overdetermined Problem in $\mathbb H^n$ ⋮ Overdetermined problems for Weingarten hypersurfaces ⋮ Maximum principles and symmetry results for a class of fully nonlinear elliptic PDEs ⋮ Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms ⋮ Serrin-type overdetermined problems for Hessian quotient equations and Hessian quotient curvature equations ⋮ 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 ⋮ On the stability of \(k\)-Hessian overdetermined and partially overdetermined problems in planar domain ⋮ Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundaries ⋮ Necessary conditions of solvability and isoperimetric estimates for some Monge-Ampère problems in the plane ⋮ A maximum principle for some fully nonlinear elliptic equations with applications to Weingarten hypersurfaces

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