On the existence of three nontrivial solutions for periodic problems driven by the scalar p-Laplacian

Papageorgiou, NS; Papalini, F

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Papalini, F	en
dc.date.accessioned	2014-03-01T01:36:33Z
dc.date.available	2014-03-01T01:36:33Z
dc.date.issued	2011	en
dc.identifier.issn	1536-1365	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21336
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-80051966401&partnerID=40&md5=ed83bed624a1d7e2b555eacb417cdf2b	en
dc.subject	Nonsmooth second deformation theorem	en
dc.subject	Periodic problem	en
dc.subject	Scalar p-Laplacian	en
dc.subject	Three nontrivial solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	EQUATIONS	en
dc.title	On the existence of three nontrivial solutions for periodic problems driven by the scalar p-Laplacian	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a nonlinear periodic problem driven by the scalar p-Laplacian with a nonsmooth potential function. First we establish an alternative minimax expression for the first nonzero eigenvalue for the negative periodic scalar p-Laplacian and then using it we prove the existence of three nontrivial solutions, two of which have constant sign. Our approach is variational, based on the nonsmooth critical point theory.	en
heal.publisher	ADVANCED NONLINEAR STUDIES, INC	en
heal.journalName	Advanced Nonlinear Studies	en
dc.identifier.isi	ISI:000288133200013	en
dc.identifier.volume	11	en
dc.identifier.issue	2	en
dc.identifier.spage	455	en
dc.identifier.epage	471	en