Multiple nontrivial solutions for nonlinear eigenvalue problems

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:26:43Z
dc.date.available	2014-03-01T01:26:43Z
dc.date.issued	2007	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18192
dc.subject	Nonlinear eigenvalue problem	en
dc.subject	P-Laplacian	en
dc.subject	Principal and second eigenvalue	en
dc.subject	Second deformation lemma	en
dc.subject	Strong maximum principle	en
dc.subject	Truncation	en
dc.subject	Upper-lower solution	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	QUASILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	REGULARITY	en
dc.title	Multiple nontrivial solutions for nonlinear eigenvalue problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1090/S0002-9939-07-08927-7	en
heal.identifier.secondary	http://dx.doi.org/10.1090/S0002-9939-07-08927-7	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper we study a nonlinear eigenvalue problem driven by the p-Laplacian. Assuming for the right-hand side nonlinearity only unilateral and sign conditions near zero, we prove the existence of three nontrivial solutions, two of which have constant sign (one is strictly positive and the other is strictly negative), while the third one belongs to the order interval formed by the two opposite constant sign solutions. The approach relies on a combination of variational and minimization methods coupled with the construction of upper-lower solutions. The framework of the paper incorporates problems with concave-convex nonlinearities. © 2007 American Mathematical Society.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Proceedings of the American Mathematical Society	en
dc.identifier.doi	10.1090/S0002-9939-07-08927-7	en
dc.identifier.isi	ISI:000249325000030	en
dc.identifier.volume	135	en
dc.identifier.issue	11	en
dc.identifier.spage	3649	en
dc.identifier.epage	3658	en