Multiple Solutions for Nearly Resonant Nonlinear Dirichlet Problems

Papageorgiou, NS; Papalini, F

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Papalini, F	en
dc.date.accessioned	2014-03-01T02:11:28Z
dc.date.available	2014-03-01T02:11:28Z
dc.date.issued	2012	en
dc.identifier.issn	09262601	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29914
dc.subject	Coercive functional	en
dc.subject	Contractible	en
dc.subject	Critical groups	en
dc.subject	Homotopy equivalent	en
dc.subject	Local minimizer	en
dc.subject	Mountain pass theorem	en
dc.subject	Near resonance	en
dc.title	Multiple Solutions for Nearly Resonant Nonlinear Dirichlet Problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11118-011-9255-8	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11118-011-9255-8	en
heal.publicationDate	2012	en
heal.abstract	In this paper we consider parametric nonlinear elliptic problems driven by the p-Laplacian differential operator and with the parameter λ near λ1, the principal eigenvalue of the negative Dirichlet p-Laplacian (near resonance). We consider both cases when λ < λ1 (near resonance from the left) and when λ > λ1 (near resonance from the right). Our approach combines variational methods based on the critical point theory, together with truncation techniques and Morse theory. © 2011 Springer Science+Business Media B.V.	en
heal.journalName	Potential Analysis	en
dc.identifier.doi	10.1007/s11118-011-9255-8	en
dc.identifier.volume	37	en
dc.identifier.issue	3	en
dc.identifier.spage	247	en
dc.identifier.epage	279	en