Positive solutions for nonlinear neumann eigenvalue problems

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:12:02Z
dc.date.available	2014-03-01T02:12:02Z
dc.date.issued	2012	en
dc.identifier.issn	10562176	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29988
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84863433016&partnerID=40&md5=abcd90964f826b0b067b2b73bd34eda2	en
dc.title	Positive solutions for nonlinear neumann eigenvalue problems	en
heal.type	journalArticle	en
heal.publicationDate	2012	en
heal.abstract	We consider a parametric nonlinear Neumann problem driven by the p-Laplacian plus an Linfin;-potential. We study the dependence of positive solutions on the parameter λ > 0, when the reaction term has a superdiffusive kind of behaviour. We prove a bifurcation type theorem, showing the existence of a critical parameter value λ> 0, such that for λ > λ, the problem has at least two positive solutions, for λ = λthe problem has at least one positive solution and finally for λ ∈ (0, λ), no positive solution exists. ©Dynamic Publishers, Inc.	en
heal.journalName	Dynamic Systems and Applications	en
dc.identifier.volume	21	en
dc.identifier.issue	2-3	en
dc.identifier.spage	235	en
dc.identifier.epage	250	en