On the maximum of solutions for a semilinear elliptic problem

DOI10.1017/S0308210500014724zbMath0681.35013MaRDI QIDQ4730142

Guido Sweers

Publication date: 1988

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

zbMATH Keywords

semilinear elliptic eigenvalue problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (10)

Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball ⋮ On the number of stable positive solutions of weakly nonlinear elliptic equations when the diffusion is small ⋮ On the uniqueness of the positive solution of a singularly perturbed problem ⋮ Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion ⋮ Multiplicity of solutions to a degenerate diffusion problem. ⋮ Unnamed Item ⋮ Stationary patterns to diffusion problems ⋮ Multiple solutions for a class of elliptic equations with jumping nonlinearities ⋮ Uniqueness to quasilinear problems for the \(p\)-Laplacian in radially symmetric domains ⋮ Existence and multiplicity of solutions for elliptic equations with jumping nonlinearities

Cites Work

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• Semilinear elliptic boundary value problems with small parameters
• Symmetry and related properties via the maximum principle
• Maximum principles and their applications
• A gradient bound and a liouville theorem for nonlinear poisson equations
• On multiple positive solutions of nonlinear elliptic eigenvalue problems

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