Existence and Nonexistence of Positive Eigenfunctions for the p-Laplacian

DOI10.2307/2160998zbMath0822.47054OpenAlexW4247115781MaRDI QIDQ4845895

Yin Xi Huang, Paul A. Binding

Publication date: 25 October 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160998

zbMATH Keywords

principal eigencurvesmooth bounded domainexistence and nonexistence of positive solutionseigencurve arguments

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Equations involving nonlinear operators (general) (47J05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (9)

A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential ⋮ Eigencurves of non-definite Sturm-Liouville problems for the \(p\)-Laplacian ⋮ Existence and uniqueness of positive eigenfunctions for certain eigenvalue systems ⋮ A weighted eigencurve for Steklov problems with a potential ⋮ \({\mathcal H}_{\infty}\) optimal interconnections ⋮ Unnamed Item ⋮ Principal eigenvalue in an unbounded domain with indefinite potential ⋮ Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions ⋮ Left-definite Sturm-Liouville problems

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