Infinitely many positive solutions for a differential inclusion problem involving the p(x) -Laplacian

DOI10.1002/MANA.201000048zbMath1250.35076OpenAlexW1973771375MaRDI QIDQ2909651

Ge Bin, Zhou Qing-Mei

Publication date: 6 September 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201000048

zbMATH Keywords

differential inclusionvariational principlelocally Lipschitz function\(p(x)\)-Laplacianoscillatory nonlinearities

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (2)

Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term

Cites Work

• Unnamed Item
• Unnamed Item
• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• Three solutions for a differential inclusion problem involving the \(p(x)\)-Laplacian
• On stationary thermo-rheological viscous flows
• Overview of differential equations with non-standard growth
• Multiple solutions for inequality Dirichlet problems by the \(p(x)\)-Laplacian
• Infinitely many solutions for a hemivariational inequality involving the \(p(x)\)-Laplacian
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential
• Every superposition operator mapping one Sobolev space into another is continuous
• Electrorheological fluids: modeling and mathematical theory
• Regularity results for stationary electro-rheological fluids
• Minimizers of the variable exponent, non-uniformly convex Dirichlet energy
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Solutions for a class of hemivariational inequalities with p(x)-Laplacian
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Variable Exponent, Linear Growth Functionals in Image Restoration
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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