Two positive solutions for p-laplacian equations with convex and concave non-linearities and a non-smooth potential

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:34:48Z
dc.date.available	2014-03-01T01:34:48Z
dc.date.issued	2010	en
dc.identifier.issn	0003-6811	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20870
dc.subject	Concave and convex non-linear terms	en
dc.subject	Ekeland variational principle	en
dc.subject	Generalized subdifferential	en
dc.subject	Non-smooth critical point theory	en
dc.subject	p-laplacian	en
dc.subject	Positive solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	MULTIPLICITY	en
dc.title	Two positive solutions for p-laplacian equations with convex and concave non-linearities and a non-smooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/00036810802713859	en
heal.identifier.secondary	http://dx.doi.org/10.1080/00036810802713859	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a non-linear elliptic problem driven by the p-Laplacian and a non-smooth potential (hemivariational inequality). We assume that the non-linearity involves the combined effects of both concave (i.e. p-sublinear) and convex (i.e. p-superlinear) terms. We show the existence of two positive solutions, using non-smooth critical point theory and the Ekeland variational principle. © 2010 Taylor & Francis.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	Applicable Analysis	en
dc.identifier.doi	10.1080/00036810802713859	en
dc.identifier.isi	ISI:000274423100005	en
dc.identifier.volume	89	en
dc.identifier.issue	2	en
dc.identifier.spage	193	en
dc.identifier.epage	206	en