A multiplicity result for nonlinear second order periodic equations with nonsmooth potential

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:17:22Z
dc.date.available	2014-03-01T01:17:22Z
dc.date.issued	2002	en
dc.identifier.issn	1370-1444	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14490
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0012542880&partnerID=40&md5=3d94f2044eaa590a0a9adacc6e075779	en
dc.subject	Clarke subdifferential	en
dc.subject	Critical point	en
dc.subject	First eigenvalue	en
dc.subject	Generalized variational derivative	en
dc.subject	Locally Lipachitz functional	en
dc.subject	Mountain pass theorem	en
dc.subject	Nonsmooth Palais-Sraale condition	en
dc.subject	Scalar p-Laplacian	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	EXISTENCE	en
dc.title	A multiplicity result for nonlinear second order periodic equations with nonsmooth potential	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper we study a quasilinear scalar periodic problem with a non-differentiable potential function. We only assume that, as a function of the state variable, the potential is locally Lipschitz. So the gradient is replaced by the generalized subdifferential in the sense of Clarke. Using a variational approach, based on the nonsmooth critical point theory of Chang (see [1]), we prove the existence of at least three distinct solutions for the periodic problem. An example is also presented, illustrating that our hypotheses on the potential function are realistic.	en
heal.publisher	BELGIAN MATHEMATICAL SOC TRIOMPHE	en
heal.journalName	Bulletin of the Belgian Mathematical Society - Simon Stevin	en
dc.identifier.isi	ISI:000183864600008	en
dc.identifier.volume	9	en
dc.identifier.issue	2	en
dc.identifier.spage	245	en
dc.identifier.epage	258	en