Periodic solutions for systems with nonsmooth and partially coercive potential

Filippakis, ME

dc.contributor.author	Filippakis, ME	en
dc.date.accessioned	2014-03-01T01:24:51Z
dc.date.available	2014-03-01T01:24:51Z
dc.date.issued	2006	en
dc.identifier.issn	00448753	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17464
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dc.relation.uri	http://www.univie.ac.at/EMIS/journals/AM/06-3/am1314.pdf	en
dc.subject	Generalized subdifferential	en
dc.subject	Locally linking Lipschitz function	en
dc.subject	Non-smooth critical point theory	en
dc.subject	Nonsmooth Palais-Smale condition	en
dc.subject	p-Laplacian	en
dc.subject	Periodic system	en
dc.title	Periodic solutions for systems with nonsmooth and partially coercive potential	en
heal.type	journalArticle	en
heal.publicationDate	2006	en
heal.abstract	In this paper we consider nonlinear periodic systems driven by the one-dimensional p-Laplacian and having a nonsmooth locally Lipschitz potential. Using a variational approach based on the nonsmooth Critical Point Theory, we establish the existence of a solution. We also prove a multi- plicity result based on a nonsmooth extension of the result of Brezis-Nirenberg (3) due to Kandilakis-Kourogenis-Papageorgiou (13).	en
heal.journalName	Archivum Mathematicum	en
dc.identifier.volume	42	en
dc.identifier.issue	3	en
dc.identifier.spage	225	en
dc.identifier.epage	232	en