Three solutions for a nonlinear Neumann boundary value problem

DOI10.4064/AM41-2-13zbMath1304.35295OpenAlexW2323147710MaRDI QIDQ2928190

Omar Chakrone, Mostafa Rahmani, Najib Tsouli, Omar Darhouche

Publication date: 6 November 2014

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am41-2-13

zbMATH Keywords

nonlinear Neumann boundary conditions\(p(x)\)-Laplaciangeneralized Lebesgue-Sobolev spacesRicceri's variational principle

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

Existence and multiplicity results for nonlinear problems involving the p(x)-Laplace operator

Cites Work

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• Existence and multiplicity results for nonlinear problems involving the p(x)-Laplace operator
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• OnL^p(x)norms
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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