Three nontrivial solutions for noncoercive asymptotically linear elliptic problems

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:37:28Z
dc.date.available	2014-03-01T01:37:28Z
dc.date.issued	2011	en
dc.identifier.issn	0362-1588	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21512
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84055222929&partnerID=40&md5=0b8ca456e94cb83783e8becd0e23f274	en
dc.subject	Critical point of mountain pass-type	en
dc.subject	Local minimizer	en
dc.subject	PS-condition	en
dc.subject.classification	Mathematics	en
dc.subject.other	CRITICAL-POINT	en
dc.subject.other	EQUATIONS	en
dc.subject.other	H-1	en
dc.title	Three nontrivial solutions for noncoercive asymptotically linear elliptic problems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper we consider a semilinear elliptic equation. We assume that the right and side nonlinearity is asymptotically linear and our conditions on it imply that the Euler functional of the problem is noncoercive. Using variational methods coupled with Morse theory and in particular the use of critical groups, we show that the problem has at least three nontrivial smooth solutions, two of which have constant sign. © 2011 University of Houston.	en
heal.publisher	UNIV HOUSTON	en
heal.journalName	Houston Journal of Mathematics	en
dc.identifier.isi	ISI:000290812900012	en
dc.identifier.volume	37	en
dc.identifier.issue	2	en
dc.identifier.spage	559	en
dc.identifier.epage	576	en