An obstacle problem for nonlinear hemivariational inequalities at resonance

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:17:27Z
dc.date.available	2014-03-01T01:17:27Z
dc.date.issued	2002	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14541
dc.subject	Critical point	en
dc.subject	Generalized subdifferential	en
dc.subject	Hemivariational inequality at resonance	en
dc.subject	Locally Lipschitz function	en
dc.subject	Lower solution	en
dc.subject	Nonsmooth C-condition	en
dc.subject	Obstacle	en
dc.subject	p-Laplacian	en
dc.subject	Principal eigenvalue	en
dc.subject	Rayleigh quotient	en
dc.subject	Sobolev space	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	VARIATIONAL-INEQUALITIES	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	POSITIVE SOLUTIONS	en
dc.subject.other	FUNCTIONALS	en
dc.subject.other	PRINCIPLE	en
dc.title	An obstacle problem for nonlinear hemivariational inequalities at resonance	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0022-247X(02)00443-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0022-247X(02)00443-2	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper we examine an obstacle problem for a nonlinear hemivariational inequality at resonance driven by the p-Laplacian. Using a variational approach based on the nonsmooth critical point theory for locally Lipschitz functionals defined on a closed, convex set, we prove two existence theorems. In the second theorem we have a pointwise interpretation of the obstacle problem, assuming in addition that the obstacle is also a kind of lower solution for the nonlinear elliptic differential inclusion. (C) 2002 Elsevier Science (USA). 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/S0022-247X(02)00443-2	en
dc.identifier.isi	ISI:000179972600021	en
dc.identifier.volume	276	en
dc.identifier.issue	1	en
dc.identifier.spage	292	en
dc.identifier.epage	313	en