Nonlinear hemivariational inequalities of second order using the method of upper-lower solutions

Kourogenis, NC; Papageorgiou, NS

dc.contributor.author	Kourogenis, NC	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:42:18Z
dc.date.available	2014-03-01T02:42:18Z
dc.date.issued	2003	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30924
dc.subject	Coercive map	en
dc.subject	Graph measurability	en
dc.subject	Lower semicontinuous multifunction	en
dc.subject	Lower solution	en
dc.subject	Operator of type S+	en
dc.subject	Order interval	en
dc.subject	Penalty map	en
dc.subject	Pseudomonotone operator	en
dc.subject	Truncation map	en
dc.subject	Upper semicontinuous multifunction	en
dc.subject	Upper solution	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	EQUATIONS	en
dc.title	Nonlinear hemivariational inequalities of second order using the method of upper-lower solutions	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1090/S0002-9939-03-06993-4	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9939-03-06993-4	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper we examine a nonlinear hemivariational inequality of second order. The differential operator is set-valued, nonlinear and depends on both x and its gradient Dx. The same is true for the zero order term f, while the right-hand side nonlinearity satisfies a one-sided Lipschitz condition. We use the method of upper and lower solutions, coupled with truncation and penalization techniques and the fixed point theory for multifunctions in an ordered Banach space.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Proceedings of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9939-03-06993-4	en
dc.identifier.isi	ISI:000182106400007	en
dc.identifier.volume	131	en
dc.identifier.issue	8	en
dc.identifier.spage	2359	en
dc.identifier.epage	2369	en