A nonlinear periodic system with nonsmooth potential of indefinite sign

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:23:26Z
dc.date.available	2014-03-01T01:23:26Z
dc.date.issued	2006	en
dc.identifier.issn	00448753	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16972
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dc.relation.uri	http://emis.luc.ac.be/journals/AM/06-3/am1283.pdf	en
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dc.subject	Generalized subdifferential	en
dc.subject	Homogeneous function	en
dc.subject	Locally Lipschitz function	en
dc.subject	p-Laplacian	en
dc.subject	Poincare-Wirtinger inequality	en
dc.subject	Potential indefinite in sign	en
dc.subject	Variational method	en
dc.title	A nonlinear periodic system with nonsmooth potential of indefinite sign	en
heal.type	journalArticle	en
heal.publicationDate	2006	en
heal.abstract	In this paper we consider a nonlinear periodic system driven by the vector ordinary p-Laplacian and having a nonsmooth locally Lipschitz potential, which is positively homogeneous. Using a variational approach which exploits the homogeneity of the potential, we establish the existence of a nonconstant solution.	en
heal.journalName	Archivum Mathematicum	en
dc.identifier.volume	42	en
dc.identifier.issue	3	en
dc.identifier.spage	205	en
dc.identifier.epage	213	en