Comparison results in second order quasilinear Dirichlet problems

DOI10.1017/S0308210500028924zbMath0741.35015MaRDI QIDQ3974218

Lawrence E. Payne, Jeffrey R. L. Webb

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

convex regionsordinary Hopf maximum principlespecial maximum principles

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (3)

SHARP UPPER AND LOWER SOLUTIONS IN SOME PARABOLIC PROBLEMS ⋮ A minimum principle for a soap film problem in \({\mathbb{R}^{2}}\) ⋮ Optimal bounds in semilinear elliptic problems with nonlinear boundary conditions

Cites Work

• Rearrangements and convexity of level sets in PDE
• On maximum principles for a class of nonlinear second-order elliptic equations
• Comparison theorems for a class of nonlinear elliptic boundary value problems
• Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function
• Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature
• Conexity Of Level Sets For Solutions To elliptic Ring Problems
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

This page was built for publication: Comparison results in second order quasilinear Dirichlet problems