Three nontrivial solutions for the p-Laplacian with a nonsmooth potential

Papageorgiou, NS; Andrade Santos, SR; Staicu, V

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Andrade Santos, SR	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:29:21Z
dc.date.available	2014-03-01T01:29:21Z
dc.date.issued	2008	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19240
dc.subject	(S)+-operator	en
dc.subject	Constant sign solution	en
dc.subject	Degree theory	en
dc.subject	Generalized subdifferential	en
dc.subject	Nonsmooth potential	en
dc.subject	p-Laplacian	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Variational techniques	en
dc.subject.other	Constant sign solution	en
dc.subject.other	Degree theory	en
dc.subject.other	Generalized subdifferential equation	en
dc.subject.other	Nonsmooth potential	en
dc.subject.other	p-Laplacian	en
dc.subject.other	Laplace equation	en
dc.title	Three nontrivial solutions for the p-Laplacian with a nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2007.04.021	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2007.04.021	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider a nonlinear elliptic problem driven by the partial p-Laplacian and with a nonsmooth potential (hemivariational inequality). Using variational techniques based on nonsmooth analysis and degree theoretic arguments for operators of the monotone type, we establish the existence of at least three distinct nontrivial smooth solutions. (C) 2007 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2007.04.021	en
dc.identifier.isi	ISI:000256503800019	en
dc.identifier.volume	68	en
dc.identifier.issue	12	en
dc.identifier.spage	3812	en
dc.identifier.epage	3827	en