Multiple positive solutions for nonlinear eigenvalue problems with the p-Laplacian

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:28:48Z
dc.date.available	2014-03-01T01:28:48Z
dc.date.issued	2008	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18982
dc.subject	(S)+-operator	en
dc.subject	Degree map	en
dc.subject	Nonlinear eigenvalue problem	en
dc.subject	p-Laplacian	en
dc.subject	Positive solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Differential equations	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Switching systems	en
dc.subject.other	Turbulent flow	en
dc.subject.other	(S)-operator	en
dc.subject.other	Degree map	en
dc.subject.other	Nonlinear eigenvalue problem	en
dc.subject.other	p-Laplacian	en
dc.subject.other	Positive solutions	en
dc.subject.other	Problem solving	en
dc.title	Multiple positive solutions for nonlinear eigenvalue problems with the p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2007.10.053	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2007.10.053	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper we consider a nonlinear eigenvalue problem driven by the p-Laplacian differential operator and with a nonsmooth potential. Using degree theoretic arguments based on the degree map for certain operators of monotone type, we show that the problem has at least two nontrivial positive solutions as the parameter lambda > 0 varies in a half-line. (C) 2007 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2007.10.053	en
dc.identifier.isi	ISI:000261552000005	en
dc.identifier.volume	69	en
dc.identifier.issue	12	en
dc.identifier.spage	4286	en
dc.identifier.epage	4300	en