Two bounded solutions of opposite sign for nonlinear hemivariational inequalities at resonance

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:19:40Z
dc.date.available	2014-03-01T01:19:40Z
dc.date.issued	2003	en
dc.identifier.issn	0033-3883	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15646
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0042526139&partnerID=40&md5=230b8d54ff9eccc509159dcd08e5f8d8	en
dc.subject	Coercive operator	en
dc.subject	First eigen-value	en
dc.subject	Hemivariational inequalities	en
dc.subject	p-Laplacian	en
dc.subject	Penalty function	en
dc.subject	Principal eigenfunction	en
dc.subject	Pseudomonotone operator	en
dc.subject	Resonance	en
dc.subject	Truncation map	en
dc.subject	Upper and lower solutions	en
dc.subject.classification	Mathematics	en
dc.subject.other	EIGENVALUE PROBLEMS	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.title	Two bounded solutions of opposite sign for nonlinear hemivariational inequalities at resonance	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper we study quasilinear hemivariational inequalities at resonance at the first eigenvalue of the p-Laplacian. For such problems we establish the existence of at least two bounded solutions: one positive and the other negative. Our approach is based on the method of upper-lower solutions and on techniques from the theory of nonlinear operator of monotone type.	en
heal.publisher	KOSSUTH LAJOS TUDOMANYEGYETEM	en
heal.journalName	Publicationes Mathematicae	en
dc.identifier.isi	ISI:000188494600003	en
dc.identifier.volume	63	en
dc.identifier.issue	1-2	en
dc.identifier.spage	29	en
dc.identifier.epage	49	en