Multiple nontrivial solutions for resonant Neumann problems

Filippakis, M; Papageorgiou, NS

dc.contributor.author	Filippakis, M	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	0025-584X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20592
dc.subject	Critical groups	en
dc.subject	Lagrange multiplier	en
dc.subject	Local minimizers	en
dc.subject	Morse inequalities	en
dc.subject	PS-conditiom	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	CRITICAL-POINT	en
dc.subject.other	FUNCTIONALS	en
dc.title	Multiple nontrivial solutions for resonant Neumann problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/mana.200710045	en
heal.identifier.secondary	http://dx.doi.org/10.1002/mana.200710045	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider semilinear second order elliptic Neumann problems, which are resonant both at infinity (with respect to an eigenvalue lambda(k), k >= 1) and at zero (with respect to the principal eigenvalue lambda(0) = 0). Using techniques from Morse theory, combined with variational methods, we are able to show that the problem has at least four nontrivial smooth solutions. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	Mathematische Nachrichten	en
dc.identifier.doi	10.1002/mana.200710045	en
dc.identifier.isi	ISI:000280302900006	en
dc.identifier.volume	283	en
dc.identifier.issue	7	en
dc.identifier.spage	1000	en
dc.identifier.epage	1014	en