Multiple solutions for superlinear Dirichlet problems with an indefinite potential

Kyritsi, STh; Papageorgiou, NS

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T11:46:29Z
dc.date.available	2014-03-01T11:46:29Z
dc.date.issued	2011	en
dc.identifier.issn	03733114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37944
dc.subject	C-condition	en
dc.subject	Critical groups	en
dc.subject	Indefinite potential	en
dc.subject	Morse relation	en
dc.subject	Mountainpass type critical point	en
dc.subject	Superlinear reaction	en
dc.subject	Three solutions	en
dc.title	Multiple solutions for superlinear Dirichlet problems with an indefinite potential	en
heal.type	other	en
heal.identifier.primary	10.1007/s10231-011-0224-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10231-011-0224-z	en
heal.publicationDate	2011	en
heal.abstract	We consider a semilinear elliptic equation with an indefinite unbounded potential and a Carathéodory reaction term that exhibits superlinear growth near ±∞ without satisfying the AR-condition. Also, at the origin, the primitive of the reaction satisfies a nonuniform nonresonance condition with respect to the first eigenvalue of {Mathematical expression} . Using critical point theory and Morse theory, we show that the problem has at least three nontrivial smooth solutions. Our result extends that of Wang (Anal Nonlineaire 8:43-58, 1991). © 2011 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.	en
heal.journalName	Annali di Matematica Pura ed Applicata	en
dc.identifier.doi	10.1007/s10231-011-0224-z	en
dc.identifier.spage	1	en
dc.identifier.epage	19	en