Three symmetric solutions for a differential inclusion system involving the \((p(x),q(x))\)-Laplacian in \(\mathbb R^N\)

DOI10.1016/j.na.2009.01.012zbMath1171.35495OpenAlexW1486656651MaRDI QIDQ1030069

Guowei Dai

Publication date: 1 July 2009

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.2009.01.012

zbMATH Keywords

critical points\((p(x), q(x))\)-Laplaciandifferential inclusion systems

Mathematics Subject Classification ID

Related Items (7)

Infinitely many solutions for differential inclusion problems in \(\mathbb R^N\) involving the \(p(x)\)-Laplacian ⋮ Existence of solutions for a differential inclusion problem with singular coefficients involving the \(p(x)\)-Laplacian ⋮ Existence results for a variable exponent elliptic problem via topological method ⋮ Dominated splitting of differentiable dynamics with \(\mathrm{C}^1\)-topological weak-star property ⋮ Multiple solutions for gradient elliptic systems with nonsmooth boundary conditions ⋮ Infinitely many non-negative solutions for a \(p(x)\)-Kirchhoff-type problem with Dirichlet boundary condition ⋮ Arbitrarily many solutions for a perturbed \(p(x)\)-Laplacian equation involving oscillatory terms

Cites Work

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• A nonsmooth principle of symmetric criticality and variational-hemivariational inequalities
• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• On some variational problems
• Some remarks on a three critical points theorem
• Nonsmooth critical point theory and nonlinear elliptic equations at resonance
• On a three critical points theorem
• Existence theorems for elliptic hemivariational inequalities involving the \(p\)-Laplacian
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Minimax theorems
• An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities
• Infinitely many solutions for a differential inclusion problem in \(\mathbb R^N\)
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On a class of nonlinear variational–hemivariational inequalities
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems

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