Positive solutions and multiple solutions at non-resonance, resonance and near resonance for hemivariational inequalities with p-laplacian

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:29:01Z
dc.date.available	2014-03-01T01:29:01Z
dc.date.issued	2008	en
dc.identifier.issn	0002-9947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19085
dc.subject	Eigenvalue problem	en
dc.subject	Hemivariational inequality	en
dc.subject	Resonance	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	FUNCTIONALS	en
dc.title	Positive solutions and multiple solutions at non-resonance, resonance and near resonance for hemivariational inequalities with p-laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0002-9947-07-04449-2	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9947-07-04449-2	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper we study eigenvalue problems for hemivariational inequalities driven by the p-Laplacian differential operator. We prove the existence of positive smooth solutions for both non-resonant and resonant problems at the principal eigenvalue of the negative p-Laplacian with homogeneous Dirichlet boundary condition. We also examine problems which are near resonance both from the left and from the right of the principal eigenvalue. For nearly resonant from the right problems we also prove a multiplicity result.© 2007 American Mathematical Society.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Transactions of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9947-07-04449-2	en
dc.identifier.isi	ISI:000252879200012	en
dc.identifier.volume	360	en
dc.identifier.issue	5	en
dc.identifier.spage	2527	en
dc.identifier.epage	2545	en