Multiple solutions for semilinear hemivariational inequalities at resonance

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:16:46Z
dc.date.available	2014-03-01T01:16:46Z
dc.date.issued	2001	en
dc.identifier.issn	0033-3883	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14216
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-3142691963&partnerID=40&md5=1b58efd3f6fb7247524bcf88e94346f5	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-3142691963&partnerID=40&md5=1b58efd3f6fb7247524bcf88e94346f5	en
dc.subject	Critical point	en
dc.subject	Eigenvalue problems	en
dc.subject	Ekeland variational principle	en
dc.subject	Hemivariational inequalities	en
dc.subject	Locally Lipschitz functional	en
dc.subject	Multiplicity result	en
dc.subject	Nonsmooth Cerami condition	en
dc.subject	Nonsmooth Palais-Smale condition	en
dc.subject	Sub-differential	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	EQUATIONS	en
dc.title	Multiple solutions for semilinear hemivariational inequalities at resonance	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	We consider semilinear eigenvalue problems for hemivariational inequalities at resonance. First we consider problems which are at resonance in a higher eigenvalue lambda (k) (with k greater than or equal to 1) and prove two multiplicity theorems asserting the existence of at least k pairs of nontrivial solutions. Then we consider problems which are resonant at the first eigenvalue lambda (1) > 0. For such problems we prove the existence of at least three nontrivial solutions. Our approach is variational and is based on the nonsmooth critical point theory of Chang, for locally Lipschitz functions.	en
heal.publisher	KOSSUTH LAJOS TUDOMANYEGYETEM	en
heal.journalName	Publicationes Mathematicae	en
dc.identifier.isi	ISI:000171278600013	en
dc.identifier.volume	59	en
dc.identifier.issue	1-2	en
dc.identifier.spage	121	en
dc.identifier.epage	146	en