Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the \(p\)-Laplacian.

zbMath1212.35109MaRDI QIDQ601623

Siegfried Carl, Motreanu, Dumitru

Publication date: 28 October 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

nonlinear eigenvalue problem\(p\)-Laplaciansign-changing solutionconstant-sign solution

Mathematics Subject Classification ID

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

Related Items (8)

Sign-changing solutions for nonlinear elliptic problems depending on parameters ⋮ Sign-changing and extremal constant-sign solutions of nonlinear elliptic Neumann boundary value problems ⋮ The sub- and supersolution method for variational-hemivariational inequalities ⋮ Constant-sign and sign-changing solutions for nonlinear eigenvalue problems ⋮ Multiple nontrivial solutions for a class of \(p\)-Laplacian equations ⋮ Nodal and multiple constant sign solutions for resonant \(p\)-Laplacian equations with a nonsmooth potential ⋮ Existence of a non-trivial solution for the \(p\)-Laplacian equation with Fučík type resonance at infinity ⋮ Sign-Changing Solutions for Nonlinear Elliptic Problems Depending on Parameters

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