Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian

Aizicovici, S; Papageorgiou, NS; Staicu, V

dc.contributor.author	Aizicovici, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:26:43Z
dc.date.available	2014-03-01T01:26:43Z
dc.date.issued	2007	en
dc.identifier.issn	0022-0396	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18193
dc.subject	Degree theory	en
dc.subject	Local minimizers	en
dc.subject	Periodic solutions	en
dc.subject	Scalar p-Laplacian	en
dc.subject	Solutions of constant sign	en
dc.subject.classification	Mathematics	en
dc.subject.other	EXISTENCE	en
dc.subject.other	EQUATIONS	en
dc.title	Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jde.2007.05.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jde.2007.05.012	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We consider a nonlinear periodic problem driven by the scalar p-Laplacian with a nonsmooth potential (hemivariational inequality). Using the degree theory for multivalued perturbations of (S)+-operators and the spectrum of a class of weighted eigenvalue problems for the scalar p-Laplacian, we prove the existence of at least three distinct nontrivial solutions, two of which have constant sign. (C) 2007 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Differential Equations	en
dc.identifier.doi	10.1016/j.jde.2007.05.012	en
dc.identifier.isi	ISI:000252285300018	en
dc.identifier.volume	243	en
dc.identifier.issue	2	en
dc.identifier.spage	504	en
dc.identifier.epage	535	en