Three solutions for a differential inclusion problem involving thep(x)-Kirchhoff-type

DOI10.1080/00036811.2011.590477zbMath1302.35483OpenAlexW2165248653MaRDI QIDQ4908181

Bin Ge, Qing-Mei Zhou

Publication date: 4 March 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.590477

zbMATH Keywords

Dirichlet problemdifferential inclusion problemthree critical point theorem\(p(x)\)-Kirchhoff-type

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Cites Work

• Three solutions to inequalities of Dirichlet problem driven by \(p(x)\)-Laplacian
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• Three solutions for a differential inclusion problem involving the \(p(x)\)-Laplacian
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• Three solutions for a Neumann-type differential inclusion problem involving the \(p(x)\)-Laplacian
• A further three critical points theorem
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Electrorheological fluids: modeling and mathematical theory
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
• An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities
• Multiple solutions for nonhomogeneous Neumann differential inclusion problems by the p(x)-Laplacian
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On a class of nonlinear variational–hemivariational inequalities
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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