Existence of nonzero weak solutions for a class of elliptic variational inclusions systems in \(\mathbb R^N\)

DOI10.1016/j.na.2005.10.033zbMath1233.35208OpenAlexW1995283081MaRDI QIDQ2500665

Alexandru Kristály

Publication date: 17 August 2006

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.2005.10.033

zbMATH Keywords

Palais-Smale conditionhemivariational inequalitiesprinciple of symmetric criticalitylocally Lipschitz functionsCerami conditionvariational inclusions system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) PDEs with multivalued right-hand sides (35R70) Weak solutions to PDEs (35D30) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (12)

Existence of nontrivial solutions for Kirchhoff-type variational inclusion system in \(\mathbb R^N\) ⋮ Generalized Fountain theorem for locally Lipschitz functionals and application ⋮ Schrödinger-Hardy systems involving two Laplacian operators in the Heisenberg group ⋮ Existence and behavior of positive solutions for a class of linearly coupled systems with discontinuous nonlinearities in \(\mathbb{R}^N\) ⋮ Nontrivial solutions for potential systems involving the mean curvature operator in Minkowski space ⋮ Existence and multiplicity results for some elliptic systems with discontinuous nonlinearities ⋮ Existence and multiplicity of solutions for nonlocal systems involving fractional Laplacian with non-differentiable terms ⋮ A multiplicity result for gradient-type systems with non-differentiable term ⋮ A multiplicity result for a special class of gradient-type systems with non-differentiable term ⋮ Existence of nontrivial solutions for \(p\)-Laplacian variational inclusion systems in \(\mathbb R^N\) ⋮ EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR $P(X)$-LAPLACIAN DIFFERENTIAL INCLUSIONS INVOLVING CRITICAL GROWTH ⋮ Multiplicity result for a class of elliptic problems with non-differentiable terms in \(\mathbb{R}^N\)

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