Existence and multiplicity of solutions for semilinear hemivariational inequalities at resonance

DOI10.1016/j.na.2006.01.019zbMath1159.35374OpenAlexW2035072219WikidataQ112251829 ScholiaQ112251829MaRDI QIDQ869824

Nikolaos S. Papageorgiou, Leszek Gasiński, Zdzisław Denkowski

Publication date: 9 March 2007

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.2006.01.019

zbMATH Keywords

regularitylocally Lipschitz functiongeneralized subdifferentiallocal linking theoremproblem at resonancepartial anticoercivity

Mathematics Subject Classification ID

Related Items (12)

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 ⋮ Unnamed Item ⋮ Existence of solutions for noncoercive hemivariational inequalities by an equilibrium approach under pseudomonotone perturbation ⋮ Existence of solutions for a class of hemivariational inequality problems ⋮ Existence of a nontrivial solution for a class of hemivariational inequality problems at double resonance ⋮ Existence of solution for a class of elliptic problems in exterior domain with discontinuous nonlinearity ⋮ Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian ⋮ Existence and multiplicity of solutions for discontinuous elliptic problems in ℝ^N ⋮ General comparison principle for variational-hemivariational inequalities ⋮ Multiplicity of solutions for a class of \((p_1,p_2,\ldots,p_n)\)-Laplacian elliptic systems with a nonsmooth potential

Cites Work

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• Two nontrivial critical points for nonsmooth functionals via local linking and applications
• Eigenvalue problems for variational-hemivariational inequalities at resonance
• Periodic solutions for second order systems with not uniformly coercive potential

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