Existence of infinitely many weak solutions for a Neumann elliptic equations involving the \(\vec {p}(x)\)-Laplacian operator

DOI10.1007/s12215-015-0210-1zbMath1331.35109OpenAlexW2189475164MaRDI QIDQ903067

Hassane Hjiaj, Abdelfattah Touzani, Ahmed Ahmed

Publication date: 4 January 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-015-0210-1

zbMATH Keywords

Sobolev spacesvariational principle\(p(x)\)-Laplacian operatoranisotropic variable exponentNeumann elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (7)

Minimization of elliptic non-local functionals involving \(\vec{p}(\cdot)\)-Laplacian ⋮ Unnamed Item ⋮ Multiplicity of solutions for a class of Neumann elliptic systems in anisotropic Sobolev spaces with variable exponent ⋮ Existence and multiplicity of weak solutions for a Neumann elliptic problem with \(\vec{p}(x)\)-Laplacian ⋮ Three weak solutions for a Neumann elliptic equations involving the \(\vec{p}(x)\)-Laplacian operator ⋮ Unnamed Item ⋮ Nontrivial solution for an anisotropic variable exponent problem with Neumann boundary condition

Cites Work

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• Anisotropic Neumann problems in Sobolev spaces with variable exponent
• Lebesgue and Sobolev spaces with variable exponents
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• Existence of solutions of the Neumann problem for a class of equations involving the \(p\)-Laplacian via a variational principle of Ricceri
• Multiplicity results for a Neumann problem involving the \(p\)-Laplacian.
• A general variational principle and some of its applications
• An approximation result in generalized anisotropic Sobolev spaces and applications
• Existence of infinitely many solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN

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