Three solutions for a perturbed Dirichlet problem

DOI10.1016/J.NA.2007.04.027zbMath1141.35030OpenAlexW2017269641MaRDI QIDQ927957

Giuseppe Cordaro, Giuseppe Rao

Publication date: 10 June 2008

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

Full work available at URL: http://hdl.handle.net/10447/3572

zbMATH Keywords

weak solutionscritical pointsweakly sequentially lower-semicontinuityperturbed Dirichlet problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Perturbation from Dirichlet problem involving oscillating nonlinearities
• Multiple solutions for two nonlinear problems involving the \(p\)-Laplacian
• Perturbations from symmetric elliptic boundary value problems
• Minimax theorems
• Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
• A multiplicity theorem for the Neumann problem
• Multiple solutions to a perturbed Neumann problem
• Existence and multiplicity of solutions to a perturbed Neumann problem

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