Variational methods for nonlinear, nonsmooth second-order periodic systems

Filippakis, M; Papageorgiou, NS

dc.contributor.author	Filippakis, M	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:25:28Z
dc.date.available	2014-03-01T01:25:28Z
dc.date.issued	2006	en
dc.identifier.issn	0233-1934	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17677
dc.subject	Generalized subdifferential	en
dc.subject	Local Linking Theorem	en
dc.subject	Locally Lipschitz function	en
dc.subject	Maximal monotone operator	en
dc.subject	Nonsmooth PS-condition	en
dc.subject	Saddle point reduction	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	EQUATIONS	en
dc.title	Variational methods for nonlinear, nonsmooth second-order periodic systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/02331930500530096	en
heal.identifier.secondary	http://dx.doi.org/10.1080/02331930500530096	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	In this article, we examine nonlinear, nonautonomous second-order systems driven by the vector ordinary p-Laplacian and with a nonsmooth potential. In the first half of the article, we investigate systems with an energy (Euler) functional which is indefinite and in general noncompact and nonconvex. Using a nonsmooth version of the saddle point reduction technique, we prove two existence theorems. In the second half of the article, we study problems with a bounded below (definite) energy functional. We prove two multiplicity results and an existence theorem for a strongly resonant at the zero eigenvalue system. Our methods are variational and use notions and techniques from nonsmooth critical point theory.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	Optimization	en
dc.identifier.doi	10.1080/02331930500530096	en
dc.identifier.isi	ISI:000237397700004	en
dc.identifier.volume	55	en
dc.identifier.issue	1-2	en
dc.identifier.spage	37	en
dc.identifier.epage	64	en