Existence and multiplicity of solutions for second order periodic systems with the p-Laplacian and a nonsmooth potential

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:30:27Z
dc.date.available	2014-03-01T01:30:27Z
dc.date.issued	2009	en
dc.identifier.issn	0026-9255	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19587
dc.subject	Local linking	en
dc.subject	Locally Lipschitz potential	en
dc.subject	P-Laplacian	en
dc.subject	Periodic system	en
dc.subject	Reduction method	en
dc.subject	Second deformation lemma	en
dc.subject.classification	Mathematics	en
dc.subject.other	EQUATIONS	en
dc.subject.other	OPERATORS	en
dc.subject.other	POINTS	en
dc.title	Existence and multiplicity of solutions for second order periodic systems with the p-Laplacian and a nonsmooth potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00605-008-0041-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00605-008-0041-7	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper we study nonlinear periodic systems driven by the ordinary p-Laplacian with a nonsmooth potential. We prove an existence theorem using a nonsmooth variant of the reduction method. We also prove two multiplicity results. The first is for scalar problems and uses the nonsmooth second deformation lemma. The second is for systems and it is based on the nonsmooth local linking theorem. © Springer-Verlag 2008.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Monatshefte fur Mathematik	en
dc.identifier.doi	10.1007/s00605-008-0041-7	en
dc.identifier.isi	ISI:000269918800002	en
dc.identifier.volume	158	en
dc.identifier.issue	2	en
dc.identifier.spage	121	en
dc.identifier.epage	150	en