Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:08:41Z
dc.date.available	2014-03-01T02:08:41Z
dc.date.issued	2012	en
dc.identifier.issn	10853375	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29698
dc.title	Dirichlet problems with an indefinite and unbounded potential and concave-convex nonlinearities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/2012/492025	en
heal.identifier.secondary	http://dx.doi.org/10.1155/2012/492025	en
heal.identifier.secondary	492025	en
heal.publicationDate	2012	en
heal.abstract	We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term. Using variational methods coupled with suitable truncation techniques, we prove two multiplicity theorems for small values of the parameter. Both theorems produce five nontrivial smooth solutions, and in the second theorem we provide precise sign information for all the solutions. Copyright 2012 Leszek Gasiski and Nikolaos S. Papageorgiou.	en
heal.journalName	Abstract and Applied Analysis	en
dc.identifier.doi	10.1155/2012/492025	en
dc.identifier.volume	2012	en