Dirichlet problems with double resonance and an indefinite potential

Gasiski, L; Papageorgiou, NS

dc.contributor.author	Gasiski, 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	0362546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29699
dc.subject	Constant sign and nodal solutions	en
dc.subject	Critical groups	en
dc.subject	Double resonance	en
dc.subject	Gradient flow	en
dc.subject	Harnack inequality	en
dc.subject	Mountain pass theorem	en
dc.subject.other	Critical groups	en
dc.subject.other	Double resonance	en
dc.subject.other	Gradient flow	en
dc.subject.other	Harnack inequality	en
dc.subject.other	Mountain pass theorem	en
dc.subject.other	Nodal solutions	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Time varying systems	en
dc.subject.other	Resonance	en
dc.title	Dirichlet problems with double resonance and an indefinite potential	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2011.09.014	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2011.09.014	en
heal.publicationDate	2012	en
heal.abstract	We consider semilinear Dirichlet problems with an unbounded and indefinite potential and with a Carathéodory reaction. We assume that asymptotically at infinity the problem exhibits double resonance. Using variational methods, together with Morse theory and flow invariance arguments, we prove multiplicity theorems producing three, five, six or seven nontrivial smooth solutions. In most multiplicity theorems, we provide precise sign information for all the solutions established. © 2011 Elsevier Ltd. All rights reserved.	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2011.09.014	en
dc.identifier.volume	75	en
dc.identifier.issue	12	en
dc.identifier.spage	4560	en
dc.identifier.epage	4595	en