Existence of positive solutions for nonlinear noncoercive hemivariational inequalities

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:26:20Z
dc.date.available	2014-03-01T01:26:20Z
dc.date.issued	2007	en
dc.identifier.issn	0008-4395	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18016
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-34548593147&partnerID=40&md5=fcc5925c91a4ec6cc1699e63d68c29f9	en
dc.subject	Locally Lipschitz potential	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth mountain pass theorem	en
dc.subject	P-Laplacian	en
dc.subject	Positive solutions	en
dc.subject	Principal eigen-value	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR DIRICHLET PROBLEM	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	RESONANCE	en
dc.title	Existence of positive solutions for nonlinear noncoercive hemivariational inequalities	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper we investigate the existence of positive solutions for nonlinear elliptic problems driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Under asymptotic conditions that make the Euler functional indefinite and incorporate in our framework the asymptotically linear problems, using a variational approach based on nonsmooth critical point theory, we obtain positive smooth solutions. Our analysis also leads naturally to multiplicity results. © Canadian Mathematical Society 2007.	en
heal.publisher	CANADIAN MATHEMATICAL SOC	en
heal.journalName	Canadian Mathematical Bulletin	en
dc.identifier.isi	ISI:000248939300004	en
dc.identifier.volume	50	en
dc.identifier.issue	3	en
dc.identifier.spage	356	en
dc.identifier.epage	364	en