Existence and multiplicity of solutions for resonant nonlinear neumann problems

Aizicovici, S; Papageorgiou, NS; Staicu, V

dc.contributor.author	Aizicovici, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:33:28Z
dc.date.available	2014-03-01T01:33:28Z
dc.date.issued	2010	en
dc.identifier.issn	1230-3429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20432
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77956305714&partnerID=40&md5=677c8a895d96465587c6dc806ae7d485	en
dc.subject	Homological local linking	en
dc.subject	Linking sets	en
dc.subject	Neumann p-laplacian	en
dc.subject	Resonant problems	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	CRITICAL-POINTS	en
dc.subject.other	THEOREM	en
dc.subject.other	SPECTRUM	en
dc.title	Existence and multiplicity of solutions for resonant nonlinear neumann problems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider nonlinear Neumann problems driven by the pLaplacian differential operator with a Caratheodory nonlinearity. Under hypotheses which allow resonance with respect to the principal eigenvalue λ0 = 0 at ±∞, we prove existence and multiplicity results. Our approach is variational and uses critical point theory and Morse theory (critical groups). © 2010 Juliusz Schauder Center for Nonlinear Studies.	en
heal.publisher	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES	en
heal.journalName	Topological Methods in Nonlinear Analysis	en
dc.identifier.isi	ISI:000278833700003	en
dc.identifier.volume	35	en
dc.identifier.issue	2	en
dc.identifier.spage	235	en
dc.identifier.epage	252	en