Existence and multiplicity results for nonlinear nonautonomous second-order systems

Filippakis, ME

dc.contributor.author	Filippakis, ME	en
dc.date.accessioned	2014-03-01T01:28:22Z
dc.date.available	2014-03-01T01:28:22Z
dc.date.issued	2008	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18819
dc.subject	Coercive functional	en
dc.subject	Palais-Smale condition	en
dc.subject	Positive solution	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Function evaluation	en
dc.subject.other	Laplace equation	en
dc.subject.other	Problem solving	en
dc.subject.other	Theorem proving	en
dc.subject.other	Variational techniques	en
dc.subject.other	Coercive functional	en
dc.subject.other	Positive solution	en
dc.subject.other	Nonlinear systems	en
dc.title	Existence and multiplicity results for nonlinear nonautonomous second-order systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2006.12.046	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2006.12.046	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper we consider nonlinear periodic systems driven by the ordinary p-Laplacian and having a nonsmooth potential function. Under minimal and natural hypotheses on the nonsmooth potential and using variational methods based on the nonsmooth critical point theory we prove four existence theorems and a multiplicity theorem. We conclude the paper with an existence theorem for the scalar problem, in which the energy functional is indefinite (i.e. it is unbounded both above and below). (C) 2008 Published by Elsevier Ltd.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2006.12.046	en
dc.identifier.isi	ISI:000253882100015	en
dc.identifier.volume	68	en
dc.identifier.issue	6	en
dc.identifier.spage	1611	en
dc.identifier.epage	1626	en