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Dirichlet problems with double resonance and an indefinite potential

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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


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