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

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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


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