Solvability of nonlinear variational-hemivariational inequalities

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:23:05Z
dc.date.available	2014-03-01T01:23:05Z
dc.date.issued	2005	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16808
dc.subject	Convex subdifferential	en
dc.subject	Critical point	en
dc.subject	Generalized subdifferential	en
dc.subject	M-accretive operator	en
dc.subject	Maximal monotone operator	en
dc.subject	p-Laplacian	en
dc.subject	Principal eigenvalue	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.title	Solvability of nonlinear variational-hemivariational inequalities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2005.02.029	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2005.02.029	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper we study nonlinear elliptic differential equations driven by the p-Laplacian with unilateral constraints produced by the combined effects of a monotone term and of a nonmonotone term (variational-hemivariational inequality). Our approach is variational and uses the subdifferential theory of nonsmooth functions and the theory of accretive and monotone operators. Also using these ideas and a special choice of the monotone term, we prove the existence of a strictly positive smooth solution for a class of nonlinear equations with nonsmooth potential (hemivariational inequality). (c) 2005 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2005.02.029	en
dc.identifier.isi	ISI:000232236100013	en
dc.identifier.volume	311	en
dc.identifier.issue	1	en
dc.identifier.spage	162	en
dc.identifier.epage	181	en