A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential

DOI10.1016/j.na.2004.11.012zbMath1190.35066OpenAlexW1972072792WikidataQ112251845 ScholiaQ112251845MaRDI QIDQ1776929

Nikolaos S. Papageorgiou, Leszek Gasiński, Michael E. Filippakis

Publication date: 12 May 2005

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.2004.11.012

zbMATH Keywords

ResonanceLocal linkingNonsmooth critical point theoryHemivariational inequalitiesSubdifferentialEigenvalues and eigenspaces of the LaplacianLocally Lipschitz functionMultiple nontrivial critical pointsVariational characterizations of the eigenvalues

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Variational methods for second-order elliptic equations (35J20) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (6)

Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ A class of quasilinear elliptic hemivariational inequality problems ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Multiplicity results for semilinear resonant elliptic problems with discontinuous nonlinearities ⋮ Existence of a nontrivial solution for a class of hemivariational inequality problems at double resonance ⋮ A note on multiplicity of solutions near resonance of semilinear elliptic equations

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