Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities

Iannizzotto, A; Papageorgiou, NS

dc.contributor.author	Iannizzotto, A	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:30:27Z
dc.date.available	2014-03-01T01:30:27Z
dc.date.issued	2009	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19591
dc.subject	Generalized subdifferentials	en
dc.subject	Local minimizers	en
dc.subject	Locally Lipschitz potentials	en
dc.subject	Minimax methods	en
dc.subject	p-Laplacian	en
dc.subject	Second deformation theorem	en
dc.subject	Solutions of constant sign	en
dc.subject	Truncations	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Deformation	en
dc.subject.other	Equations of state	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Generalized subdifferentials	en
dc.subject.other	Local minimizers	en
dc.subject.other	Locally Lipschitz potentials	en
dc.subject.other	Minimax methods	en
dc.subject.other	p-Laplacian	en
dc.subject.other	Second deformation theorem	en
dc.subject.other	Truncations	en
dc.subject.other	Laplace equation	en
dc.title	Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2008.04.033	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2008.04.033	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper we consider a nonlinear Neumann problem driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Using minimax methods based on the nonsmooth critical point theory together with suitable truncation techniques, we show that the problem has at least three nontrivial smooth solutions. Two of these solutions have constant sign (one is positive, the other negative). (C) 2008 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.2008.04.033	en
dc.identifier.isi	ISI:000264691300028	en
dc.identifier.volume	70	en
dc.identifier.issue	9	en
dc.identifier.spage	3285	en
dc.identifier.epage	3297	en