Multiplicity of solutions for differential inclusion problems in \({\mathbb{R}^N}\) involving the \(p(x)\)-Laplacian

DOI10.1007/s00605-011-0342-0zbMath1276.35094OpenAlexW1972810198MaRDI QIDQ691034

Qing-Mei Zhou, Xiao-Ping Xue, Bin Ge

Publication date: 29 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0342-0

zbMATH Keywords

mountain pass theoremvariational methodClarke subdifferentiallocally Lipschitz function\(p(x)\)-Laplaciandifferential inclusion problem

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ Multiple solutions for a class of differential inclusion system involving the \((p(x), q(x))\)-Laplacian ⋮ Infinitely many solutions for a non-homogeneous differential inclusion with lack of compactness

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• Unnamed Item

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