Existence of a nontrivial solution for a class of hemivariational inequality problems at double resonance

DOI10.1016/J.NA.2011.02.038zbMath1221.35175OpenAlexW2085042598MaRDI QIDQ548606

Jinguo Zhang, Yu Ying Zhou

Publication date: 29 June 2011

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.2011.02.038

zbMATH Keywords

Clarke generalized gradienthemivariational inequalitydouble resonancenonsmooth minimax principle

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (10)

Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in \(\mathbb{R}^N \) ⋮ Solutions for a degenerate \(p(x)\)-Laplacian equation with a nonsmooth potential ⋮ Existence of solutions for Dirichlet elliptic problems with discontinuous nonlinearity ⋮ Multiplicity of nontrivial solutions for boundary value problem for impulsive fractional differential inclusions via nonsmooth critical point theory ⋮ Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity ⋮ The multiplicity of nontrivial solutions for hemivariational inequalities involving nonlocal elliptic operators ⋮ EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR $P(X)$-LAPLACIAN DIFFERENTIAL INCLUSIONS INVOLVING CRITICAL GROWTH ⋮ Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian ⋮ Existence and multiplicity of solutions for discontinuous elliptic problems in ℝ^N ⋮ Multiplicity of solutions for a class of \((p_1,p_2,\ldots,p_n)\)-Laplacian elliptic systems with a nonsmooth potential

Cites Work

• Existence and multiplicity of solutions for semilinear hemivariational inequalities at resonance
• Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues
• Eigenvalue problems for hemivariational inequalities
• Multiple solutions for semilinear elliptic boundary value problems with double resonance
• Variational and non-variational methods in nonlinear analysis and boundary value problems
• Variational and hemivariational inequalities: theory, methods and applications. Vol. I: Unilateral analysis and unilateral mechanics
• Existence and multiplicity for solutions of Neumann problem for semilinear elliptic equations.
• A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential
• On a double resonant problem in \(\mathbb R^N\).
• Nontrivial solutions for resonant hemivariational inequalities
• Multiplicity results for semilinear elliptic problems with resonance
• Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
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