A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential

Filippakis, M; Gasinski, L; Papageorgiou, NS

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