Existence of a pair of positive solutions for a class of nonlinear eigenvalue problems

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:30:27Z
dc.date.available	2014-03-01T01:30:27Z
dc.date.issued	2009	en
dc.identifier.issn	1385-1292	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19588
dc.subject	(S)+-map Degree theory p-Laplacian	en
dc.subject	Nonlinear regularity Nonlinear strong maximum principle	en
dc.subject.classification	Mathematics	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.title	Existence of a pair of positive solutions for a class of nonlinear eigenvalue problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11117-008-2263-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11117-008-2263-2	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper, we consider a nonlinear elliptic equation driven by the p-Laplacian and with a parameter λ > 0. Using a combination of variational and degree theoretic methods, we show that there exists λ<sup/> > 0 such that, if λ > λ <sup/>, then the problem has two positive smooth solutions. Our result extends earlier ones by Rabinowitz (semilinear equations) and Guo (nonlinear equations). © 2009 Birkhäuser Verlag Basel/Switzerland.	en
heal.publisher	SPRINGER	en
heal.journalName	Positivity	en
dc.identifier.doi	10.1007/s11117-008-2263-2	en
dc.identifier.isi	ISI:000269009800015	en
dc.identifier.volume	13	en
dc.identifier.issue	4	en
dc.identifier.spage	783	en
dc.identifier.epage	792	en