Solutions for nonlinear variational inequalities with a nonsmooth potential

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:21:27Z
dc.date.available	2014-03-01T01:21:27Z
dc.date.issued	2004	en
dc.identifier.issn	10853375	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16241
dc.subject	Existence Theorem	en
dc.subject	lower semicontinuity	en
dc.subject	nonsmooth critical point theory	en
dc.subject	Positive Solution	en
dc.subject	Variational Inequality	en
dc.title	Solutions for nonlinear variational inequalities with a nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/S1085337504312017	en
heal.identifier.secondary	http://dx.doi.org/10.1155/S1085337504312017	en
heal.publicationDate	2004	en
heal.abstract	First we examine a resonant variational inequality driven by the p-Laplacian and with a nonsmooth potential. We prove the existence of a nontrivial solution. Then we use this existence theorem to obtain nontrivial positive solutions for a class of resonant elliptic equations involving the p-Laplacian and a nonsmooth potential. Our approach is variational based on the nonsmooth critical point theory for functionals of the form φ = φ1 + φ2 with φ2 locally Lipschitz and 2 proper, convex, lower semicontinuous.	en
heal.journalName	Abstract and Applied Analysis	en
dc.identifier.doi	10.1155/S1085337504312017	en
dc.identifier.volume	2004	en
dc.identifier.issue	8	en
dc.identifier.spage	635	en
dc.identifier.epage	649	en