Multiple solutions for dirichlet problems which are superlinear at +∞ and (sub-)linear at -∞

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:58:46Z
dc.date.available	2014-03-01T01:58:46Z
dc.date.issued	2009	en
dc.identifier.issn	10832564	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28718
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-70350009819&partnerID=40&md5=a261c896f5cac31b898c8c3d5d586b09	en
dc.title	Multiple solutions for dirichlet problems which are superlinear at +∞ and (sub-)linear at -∞	en
heal.type	journalArticle	en
heal.publicationDate	2009	en
heal.abstract	We consider a semilinear Dirichlet elliptic problem with a right-hand side nonlinearity which exhibits an asymmetric growth near +∞ and near -∞. Namely, it is (sub-)linear near -∞ and superlinear near +∞. However, it need not satisfy the Ambrosetti-Rabinowitz condition on the positive semiaxis. Combining variational methods with Morse theory, we show that the problem has at least two nontrivial solutions, one of which is negative. ©Dynamic Publishers, Inc.	en
heal.journalName	Communications in Applied Analysis	en
dc.identifier.volume	13	en
dc.identifier.issue	3	en
dc.identifier.spage	341	en
dc.identifier.epage	358	en