Existence of three nontrivial smooth solutions for nonlinear resonant neumann problems driven by the p-laplacian

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	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	0232-2064	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20435
dc.subject	Contractible sets	en
dc.subject	Critical groups	en
dc.subject	Local minimizers	en
dc.subject	P-Laplacian	en
dc.subject	Resonance	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.title	Existence of three nontrivial smooth solutions for nonlinear resonant neumann problems driven by the p-laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.4171/ZAA/1415	en
heal.identifier.secondary	http://dx.doi.org/10.4171/ZAA/1415	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear Neumann elliptic problem driven by the p-Laplacian and with a reaction term which asymptotically at ±∞ exhibits resonance with respect to the principal eigenvalue λ0 = 0. Using variational methods combined with tools from Morse theory, we show that the resonant problem has at least three nontrivial smooth solutions, two of which have constant sign (one positive, the other negative). © European Mathematical Society.	en
heal.publisher	HELDERMANN VERLAG	en
heal.journalName	Zeitschrift fur Analysis und ihre Anwendung	en
dc.identifier.doi	10.4171/ZAA/1415	en
dc.identifier.isi	ISI:000285565100003	en
dc.identifier.volume	29	en
dc.identifier.issue	4	en
dc.identifier.spage	413	en
dc.identifier.epage	428	en