Multiple positive solutions for nonlinear eigenvalue problems with the \(p\)-Laplacian

DOI10.1016/j.na.2007.10.053zbMath1152.35456OpenAlexW2056682570MaRDI QIDQ960195

Nikolaos S. Papageorgiou, Shouchuan Hu

Publication date: 16 December 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.10.053

zbMATH Keywords

positive solutionsnonlinear eigenvalue problem\(p\)-Laplaciandegree map\((S)_{+}\)-operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

On a p-Laplacian eigenvalue problem with supercritical exponent ⋮ Multiple solutions to a class of inclusion problem with thep(x)-Laplacian ⋮ Multiplicity of positive solutions for eigenvalue problems of \((p,2)\)-equations ⋮ Generalized lower and upper functions for the \(\varphi\)-Laplacian ⋮ Finite difference solution of a singular boundary value problem for the \(p\)-Laplace operator ⋮ Existence, nonexistence and multiplicity of positive solutions for parametric nonlinear elliptic equations ⋮ A third solution to the eigenvalue problem with supercritical exponent ⋮ Multiple solutions for a class of nonlinear elliptic problems with a \(p\)-Laplacian type operator ⋮ Bifurcation Phenomena for Parametric Nonlinear Elliptic Hemivariational Inequalities

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