The spectrum and an index formula for the Neumann $p-$Laplacian and multiple solutions for problems with a crossing nonlinearity

Staicu, V; Papageorgiou, N; Aizicovici, S

dc.contributor.author	Staicu, V	en
dc.contributor.author	Papageorgiou, N	en
dc.contributor.author	Aizicovici, S	en
dc.date.accessioned	2014-03-01T01:58:17Z
dc.date.available	2014-03-01T01:58:17Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28664
dc.subject	Eigenvalues	en
dc.subject	Indexation	en
dc.subject	Multiple Solution	en
dc.subject	Neumann Boundary Condition	en
dc.subject	Spectrum	en
dc.subject	Weight Function	en
dc.title	The spectrum and an index formula for the Neumann $p-$Laplacian and multiple solutions for problems with a crossing nonlinearity	en
heal.type	journalArticle	en
heal.identifier.primary	10.3934/dcds.2009.25.431	en
heal.identifier.secondary	http://dx.doi.org/10.3934/dcds.2009.25.431	en
heal.publicationDate	2009	en
heal.abstract	In this paper we first conduct a study of the spectrum of the negative p-Laplacian with Neumann boundary conditions. More precisely we investigate the first nonzero eigenvalue. We produce alternative variational characterizations, we examine its dependence on p 2 (1,1) and on the weight function m 2 L 1 (Z)+ and we prove that the isolation of the principal eigen-	en
heal.journalName	Discrete and Continuous Dynamical Systems	en
dc.identifier.doi	10.3934/dcds.2009.25.431	en