A bifurcation-type result for nonlinear Neumann eigenvalue problems

Kyritsi, ST; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:07:13Z
dc.date.available	2014-03-01T02:07:13Z
dc.date.issued	2012	en
dc.identifier.issn	05328721	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29529
dc.subject	Bifurcation-type theorem	en
dc.subject	Local minimizers	en
dc.subject	Nonlinear maximum principle	en
dc.subject	Nonlinear regularity	en
dc.subject	P-laplacian	en
dc.subject	Positive solution	en
dc.title	A bifurcation-type result for nonlinear Neumann eigenvalue problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1619/fesi.55.1	en
heal.identifier.secondary	http://dx.doi.org/10.1619/fesi.55.1	en
heal.publicationDate	2012	en
heal.abstract	We consider a nonlinear Neumann eigenvalue problem driven by the p-Laplacian and with a (p-1)-sublinear reaction. Using variational methods together with suitable truncation techniques, we prove a bifurcation-type theorem for the eigenvalue problem. Namely, we show that there is a critical parameter value λ* > 0 such that for all λ > λ* the problem has at least two positive solutions, for λ= λ* there is at least one positive solution and for λ ∈ (0; λ*) no positive solutions exist.	en
heal.journalName	Funkcialaj Ekvacioj	en
dc.identifier.doi	10.1619/fesi.55.1	en
dc.identifier.volume	55	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	15	en