Multiple nontrivial solutions for neumann problems involving the p-laplacian: A morse theoretical approach

Kristaly, A; Papageorgiou, NS

dc.contributor.author	Kristaly, A	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:47Z
dc.date.available	2014-03-01T01:33:47Z
dc.date.issued	2010	en
dc.identifier.issn	1536-1365	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20591
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77955874676&partnerID=40&md5=8ecdc1dfe32f1bc07d0e3981dd9d307e	en
dc.subject	Morse theory	en
dc.subject	Multiple solutions.	en
dc.subject	Neumann problem	en
dc.subject	P-Laplacian	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	CRITICAL-POINTS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	OPERATORS	en
dc.title	Multiple nontrivial solutions for neumann problems involving the p-laplacian: A morse theoretical approach	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider nonlinear elliptic Neumann problems driven by the p-Laplacian. Using variational techniques together with Morse theory (in particular, critical groups and the Poincaré-Hopf formula), we prove some multiplicity results: either three or four distinct nontrivial solutions are guaranteed, depending on the geometry and smoothness of the nonlinear term.	en
heal.publisher	ADVANCED NONLINEAR STUDIES, INC	en
heal.journalName	Advanced Nonlinear Studies	en
dc.identifier.isi	ISI:000273652000004	en
dc.identifier.volume	10	en
dc.identifier.issue	1	en
dc.identifier.spage	83	en
dc.identifier.epage	107	en