A multiplicity theorem for p-superlinear p-Laplacian equations using critical groups and morse theory

Kyritsi, ST; O'Regan, D; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	O'Regan, D	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:34:54Z
dc.date.available	2014-03-01T01:34:54Z
dc.date.issued	2011	en
dc.identifier.issn	0026-9255	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20932
dc.subject	C-condition	en
dc.subject	Critical groups	en
dc.subject	Indefinite Euler function	en
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	p-Superlinear nonlinearity	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	RESONANCE	en
dc.subject.other	INFINITY	en
dc.subject.other	SIGN	en
dc.title	A multiplicity theorem for p-superlinear p-Laplacian equations using critical groups and morse theory	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00605-010-0201-4	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00605-010-0201-4	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We study a nonlinear elliptic equation driven by the Dirichlet p-Laplacian and with a Carathéodory nonlinearity. We assume that the nonlinearity exhibits a p-superlinear growth near infinity but need not satisfy the Ambrosetti-Rabinowitz condition. Using truncation techniques, minimax methods and Morse theory, we show that the problem admits at least three nontrivial solutions, two of which have constant sign (one positive, the other negative). © 2010 Springer-Verlag.	en
heal.publisher	SPRINGER WIEN	en
heal.journalName	Monatshefte fur Mathematik	en
dc.identifier.doi	10.1007/s00605-010-0201-4	en
dc.identifier.isi	ISI:000293026200006	en
dc.identifier.volume	163	en
dc.identifier.issue	4	en
dc.identifier.spage	471	en
dc.identifier.epage	491	en