The existence of radial solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian

DOI10.1016/j.na.2010.03.041zbMath1196.35237OpenAlexW2095735776MaRDI QIDQ984033

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

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.041

zbMATH Keywords

integral functionalsradial solution\(p(x)\)-Laplacianvariable exponent Sobolev space

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Existence of nontrivial solutions for Kirchhoff-type variational inclusion system in \(\mathbb R^N\) ⋮ 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 differential inclusion problem in \({\mathbb{R}^N}\) involving \(p(x)\)-Laplacian and oscillatory terms ⋮ Three solutions for a differential inclusion problem involving thep(x)-Kirchhoff-type ⋮ Multiplicity of solutions for differential inclusion problems in \({\mathbb{R}^N}\) involving the \(p(x)\)-Laplacian ⋮ Infinitely many solutions for a non-homogeneous differential inclusion with lack of compactness ⋮ Homoclinic solutions for a differential inclusion system involving the \(p(t)\)-Laplacian

Cites Work

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• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• OnL^p(x)norms
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• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Regularity results for a class of functionals with non-standard growth
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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