Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems

Papageorgiou, EH; Papageorgiou, NS

dc.contributor.author	Papageorgiou, EH	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:20:27Z
dc.date.available	2014-03-01T01:20:27Z
dc.date.issued	2004	en
dc.identifier.issn	0011-4642	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15925
dc.subject	Clarke subdifferential	en
dc.subject	nonsmooth critical point theory	en
dc.subject	nonsmooth Palais-Smale condition	en
dc.subject	p-Laplacian	en
dc.subject	periodic solution	en
dc.subject	Poincare-Wirtinger inequality	en
dc.subject	saddle point theorem	en
dc.subject	Sobolev inequality	en
dc.subject.classification	Mathematics	en
dc.subject.other	NONAUTONOMOUS 2ND-ORDER SYSTEMS	en
dc.subject.other	EQUATIONS	en
dc.title	Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/B:CMAJ.0000042374.53530.7e	en
heal.identifier.secondary	http://dx.doi.org/10.1023/B:CMAJ.0000042374.53530.7e	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper we examine nonlinear periodic systems driven by the vectorial p-Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity. Our approach is based on the nonsmooth critical point theory and uses the subdifferential theory for locally Lipschitz functions. We prove existence and multiplicity results for the ""sublinear"" problem. For the semilinear problem (i.e. p = 2) using a nonsmooth multidimensional version of the Ambrosetti-Rabinowitz condition, we prove an existence theorem for the ""superlinear"" problem. Our work generalizes some recent results of Tang (PAMS 126(1998)).	en
heal.publisher	CZECHOSLOVAK MATHEMATICAL JOURNAL	en
heal.journalName	Czechoslovak Mathematical Journal	en
dc.identifier.doi	10.1023/B:CMAJ.0000042374.53530.7e	en
dc.identifier.isi	ISI:000222816900008	en
dc.identifier.volume	54	en
dc.identifier.issue	2	en
dc.identifier.spage	347	en
dc.identifier.epage	371	en