On maximum principles for a class of nonlinear second-order elliptic equations

DOI10.1016/0022-0396(80)90086-8zbMath0413.35014OpenAlexW2006453824MaRDI QIDQ1260527

Lawrence E. Payne, G. A. Philippin

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90086-8

zbMATH Keywords

maximum principlecritical pointclassical solutionfirst order linear partial differential equationnonlinear second order elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60)

Related Items (7)

Maximum principles for a class of nonlinear second order elliptic differential equations ⋮ Comparison results in second order quasilinear Dirichlet problems ⋮ Maximum principles and overdetermined problems for Hessian equations ⋮ Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities ⋮ Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form ⋮ Strong coefficient stability for quasilinear elliptic equations with application to inverse coefficient problems ⋮ Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function

Cites Work

• Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
• A Remark on Linear Elliptic Differential Equations of Second Order

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