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A morse theoretic approach to the existence of multiple solutions for nonlinear periodic problems

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dc.contributor.author Kyritsi, ST en
dc.contributor.author O'Regan, D en
dc.contributor.author Papageorgiou, NS en
dc.date.accessioned 2014-03-01T02:07:22Z
dc.date.available 2014-03-01T02:07:22Z
dc.date.issued 2012 en
dc.identifier.issn 12013390 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/29551
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-84861414841&partnerID=40&md5=5be7ef4b5480e14b8900cb34d40d5776 en
dc.subject Critical groups en
dc.subject Morse theory en
dc.subject Mountain pass theorem en
dc.subject Multiple solutions en
dc.subject Periodic scalar p-Laplacian en
dc.title A morse theoretic approach to the existence of multiple solutions for nonlinear periodic problems en
heal.type journalArticle en
heal.publicationDate 2012 en
heal.abstract We consider a nonlinear periodic problem driven by the scalar p-Laplacian and with a Carathéodory nonlinearity which asymptotically at infinity exhibits a p-linear growth. Using minimax arguments, together with truncation techniques and methods from Morse theory, we show that the problem has three nontrivial solutions. In the semilinear case (i.e., p=2), we show using Morse theory, that the problem has four nontrivial solutions. Copyright © 2012 Watam Press. en
heal.journalName Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis en
dc.identifier.volume 19 en
dc.identifier.issue 3 en
dc.identifier.spage 291 en
dc.identifier.epage 318 en


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