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A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential

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dc.contributor.author Filippakis, M en
dc.contributor.author Gasinski, L en
dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T01:21:44Z
dc.date.available 2014-03-01T01:21:44Z
dc.date.issued 2005 en
dc.identifier.issn 0362-546X en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/16350
dc.subject Eigenvalues and eigenspaces of the Laplacian en
dc.subject Hemivariational inequalities en
dc.subject Local linking en
dc.subject Locally Lipschitz function en
dc.subject Multiple nontrivial critical points en
dc.subject Resonance en
dc.subject Subdifferential en
dc.subject Variational characterizations of the eigenvalues en
dc.subject.classification Mathematics, Applied en
dc.subject.classification Mathematics en
dc.subject.other Differential equations en
dc.subject.other Eigenvalues and eigenfunctions en
dc.subject.other Functions en
dc.subject.other Laplace transforms en
dc.subject.other Problem solving en
dc.subject.other Resonance en
dc.subject.other Set theory en
dc.subject.other Theorem proving en
dc.subject.other Variational techniques en
dc.subject.other Eigenvalues and eigenspaces of the Laplacian en
dc.subject.other Hemivariational inequalities en
dc.subject.other Local linking en
dc.subject.other Locally Lipschitz functions en
dc.subject.other Multiple nontrivial critical points en
dc.subject.other Nonsmooth critical point theory en
dc.subject.other Subdifferential en
dc.subject.other Variational characterizations of the eigenvalues en
dc.subject.other Nonlinear systems en
dc.title A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.na.2004.11.012 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.na.2004.11.012 en
heal.language English en
heal.publicationDate 2005 en
heal.abstract We study a semilinear elliptic problem with a nonsmooth potential and resonance at the origin between two successive eigenvalues of (-Delta, H-0(1)(Z)). our approach is variational and is based on the nonsmooth critical point theory for locally Lipschitz functions. We prove the existence of at least two nontrivial solutions. (c) 2004 Elsevier Ltd. All rights reserved. en
heal.publisher PERGAMON-ELSEVIER SCIENCE LTD en
heal.journalName Nonlinear Analysis, Theory, Methods and Applications en
dc.identifier.doi 10.1016/j.na.2004.11.012 en
dc.identifier.isi ISI:000227568700005 en
dc.identifier.volume 61 en
dc.identifier.issue 1-2 en
dc.identifier.spage 61 en
dc.identifier.epage 75 en


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