NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS: EXISTENCE AND MULTIPLICITY OF SOLUTIONS

Barletta, G; Papageorgiou, NS

dc.contributor.author	Barletta, G	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:56:31Z
dc.date.available	2014-03-01T01:56:31Z
dc.date.issued	2007	en
dc.identifier.issn	1345-4773	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28137
dc.subject	Nonsmooth potential	en
dc.subject	locally Lipschitz function	en
dc.subject	generalized subdifferential	en
dc.subject	nonsmooth PS-condition	en
dc.subject	saddle point theorem	en
dc.subject	local linking theorem	en
dc.subject	multiple nontrivial solutions	en
dc.title	NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS: EXISTENCE AND MULTIPLICITY OF SOLUTIONS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper we study the existence and multiplicity of solutions for a second order nonautonumous periodic system with a nonsmooth potential. We prove two existence theorems and a multiplicity result. In the first existence theorem the Euler functional is coercive and the solution is a minimizer of it. In the second existence theorem the Euler functional is unbounded and the solution is obtained using the saddle point theorem. Finally for the multiplicity result we employ a nonsmooth version of the local linking theorem.	en
heal.publisher	YOKOHAMA PUBL	en
heal.journalName	JOURNAL OF NONLINEAR AND CONVEX ANALYSIS	en
dc.identifier.isi	ISI:000207067800004	en
dc.identifier.volume	8	en
dc.identifier.issue	3	en
dc.identifier.spage	373	en
dc.identifier.epage	390	en