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

Kyritsi, ST; O'Regan, D; Papageorgiou, NS

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