Existence and multiplicity of solutions for nonlocal \(p(x)\)-Laplacian problems in \(\mathbb R^N\)

DOI10.1186/1687-2770-2012-79zbMath1281.35053OpenAlexW2161006440WikidataQ59289893 ScholiaQ59289893MaRDI QIDQ377680

Erlin Guo, Pei-Hao Zhao

Publication date: 7 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-79

zbMATH Keywords

critical pointsnonlocal problemvariable exponent Sobolev spaces\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Existence and multiplicity of solutions for p(.)-Kirchhoff-type equations ⋮ Unnamed Item ⋮ On a nonlocal nonhomogeneous Neumann boundary problem with two critical exponents ⋮ Critical \(p(x)\)-Kirchhoff problems involving variable singular exponent

Cites Work

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• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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