Maximum principles for a class of nonlinear second order elliptic differential equations

DOI10.1080/00036819608840481zbMath0863.35017arXivmath/9804125OpenAlexW2009591077MaRDI QIDQ5285383

Giovanni Porru, A. Tewodros, Stella Vernier Piro

Publication date: 16 June 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9804125

zbMATH Keywords

overdetermined problemringshaped domain

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items

Strong coefficient stability for quasilinear elliptic equations with application to inverse coefficient problems

Cites Work

• On maximum principles for a class of nonlinear second-order elliptic equations
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• On a familiy of torsional creep problems.
• On a free boundary problem in electrostatics
• Convexity properties for solutions of some second order elliptic semilinear equations
• Elliptic Partial Differential Equations of Second Order
• Some Applications of the Maximum Principle in the Problem of Torsional Creep
• Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
• A Symmetry Result Related to Some Overdetermined Boundary Value Problems