Nonautonomous resonant periodic systems with indefinite linear part and a nonsmooth potential

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:36:27Z
dc.date.available	2014-03-01T01:36:27Z
dc.date.issued	2011	en
dc.identifier.issn	1534-0392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21303
dc.subject	C-condition	en
dc.subject	Coercive functional	en
dc.subject	Indefinite linear part	en
dc.subject	Local linking	en
dc.subject	Reduction method	en
dc.subject	Resonant system	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	NONTRIVIAL SOLUTIONS	en
dc.subject.other	EQUATIONS	en
dc.title	Nonautonomous resonant periodic systems with indefinite linear part and a nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/cpaa.2011.10.1401	en
heal.identifier.secondary	http://dx.doi.org/10.3934/cpaa.2011.10.1401	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	A nonautonomous second order system with a nonsmooth poten-tial is studied. It is assumed that the system is asymptotically linear at infinity and resonant (both at infinity and at the origin), with respect to the zero ei- genvalue. Also, it is assumed that the linearization of the system is indefinite. Using a nonsmooth variant of the reduction method and the local linking the- orem, we show that the system has at least two nontrivial solutions.	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Communications on Pure and Applied Analysis	en
dc.identifier.doi	10.3934/cpaa.2011.10.1401	en
dc.identifier.isi	ISI:000295122100008	en
dc.identifier.volume	10	en
dc.identifier.issue	5	en
dc.identifier.spage	1401	en
dc.identifier.epage	1414	en