Positive superharmonic solutions to semi-linear elliptic eigenvalue problems

DOI10.1016/0022-247X(84)90102-1zbMath0543.35038OpenAlexW2020590590MaRDI QIDQ795988

Philippe Clément, Lambertus A. Peletier

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90102-1

zbMATH Keywords

Dirichlet problemcontinua of positive solutionspositive superharmonic solutionssemi-linear elliptic eigenvalue problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (4)

Unnamed Item ⋮ Positivity versus localization in degenerate diffusion equations ⋮ A positive solution on \(\mathbb{R}^N\) to a system of elliptic equations of FitzHugh-Nagumo type ⋮ Strong positivity in \(C(\bar\Omega)\) for elliptic systems

Cites Work

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• Some aspects of nonlinear eigenvalue problems
• INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
• GENERALIZED SOLUTIONS OF NONLINEAR FIRST ORDER EQUATIONS WITH SEVERAL INDEPENDENT VARIABLES. II
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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