Existence of at least five solutions for a differential inclusion problem involving the \(p(x)\)-Laplacian

DOI10.1016/J.NONRWA.2011.01.011zbMath1223.35179OpenAlexW1988924166MaRDI QIDQ546188

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

Publication date: 24 June 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.01.011

zbMATH Keywords

Dirichlet problemelliptic equationgeneralized subdifferential\(p(x)\)-Laplacianvariable exponent Sobolev space

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (7)

Solutions for a degenerate \(p(x)\)-Laplacian equation with a nonsmooth potential ⋮ Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ A minimization problem with variable growth on Nehari manifold ⋮ Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ Multiple solutions for a class of differential inclusion system involving the \((p(x), q(x))\)-Laplacian ⋮ EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR $P(X)$-LAPLACIAN DIFFERENTIAL INCLUSIONS INVOLVING CRITICAL GROWTH

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