Best possible maximum principles for fully nonlinear elliptic partial differential equations

DOI10.4171/ZAA/1299zbMath1236.35015OpenAlexW2094477957MaRDI QIDQ873750

Giovanni Porru, A. Safoui, Stella Vernier Piro

Publication date: 20 March 2007

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1299

zbMATH Keywords

fully nonlinear elliptic equations, Weingarten surfaces, best possible maximum principles

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) Monge-Ampère equations (35J96)

Related Items (2)

A best possible maximum principle and an overdetermined problem for a generalized Monge-Ampère equation ⋮ A maximum principle for some fully nonlinear elliptic equations with applications to Weingarten hypersurfaces

Cites Work

• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
• Elliptic Partial Differential Equations of Second Order
• Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
• SOME MAXIMUM PRINCIPLES AND SYMMETRY RESULTS FOR A CLASS OF BOUNDARY VALUE PROBLEMS INVOLVING THE MONGE-AMPÈRE EQUATION

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