Existence of positive and of multiple solutions for nonlinear periodic problems

Denkowski, Z; Gasinski, L; Papageorgiou, NS

dc.contributor.author	Denkowski, Z	en
dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:26:20Z
dc.date.available	2014-03-01T01:26:20Z
dc.date.issued	2007	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18015
dc.subject	Clarke subdifferential	en
dc.subject	Generalized nonsmooth Palais-Smale condition	en
dc.subject	Local minimum	en
dc.subject	Locally Lipschitz functions	en
dc.subject	Nonsmooth Cerami condition	en
dc.subject	Nonsmooth mountain pass theorem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Theorem proving	en
dc.subject.other	Clarke subdifferential	en
dc.subject.other	Generalized nonsmooth Palais-Smale condition	en
dc.subject.other	Local minimum	en
dc.subject.other	Locally Lipschitz functions	en
dc.subject.other	Nonsmooth Cerami condition	en
dc.subject.other	Nonsmooth mountain pass theorem	en
dc.subject.other	Problem solving	en
dc.title	Existence of positive and of multiple solutions for nonlinear periodic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2006.03.020	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2006.03.020	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper we consider a scalar periodic problem driven by the ordinary p-Laplacian differential operator and having a nonsmooth potential. Using a variational method based on nonsmooth critical point theory, first we prove the existence of a strictly positive solution. Then by strengthening our hypotheses on the nonsmooth potential, we prove the existence of a second periodic solution. (c) 2006 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2006.03.020	en
dc.identifier.isi	ISI:000245706100016	en
dc.identifier.volume	66	en
dc.identifier.issue	10	en
dc.identifier.spage	2289	en
dc.identifier.epage	2314	en