Multiplicity of solutions for doubly resonant Neumann problems

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:36:21Z
dc.date.available	2014-03-01T01:36:21Z
dc.date.issued	2011	en
dc.identifier.issn	1370-1444	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21291
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-79953682209&partnerID=40&md5=d03fe49a0b9b8b383c921edcfd5d7c6c	en
dc.subject	Critical groups	en
dc.subject	Double resonance	en
dc.subject	LL-condition	en
dc.subject	Morse theory	en
dc.subject	Multiple solutions	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	SEMILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	HIGHER EIGENVALUES	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	SOLVABILITY	en
dc.subject.other	FUNCTIONALS	en
dc.subject.other	H-1	en
dc.title	Multiplicity of solutions for doubly resonant Neumann problems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this paper,we examine semilinear Neumann problems which at +/-infinity are resonant with respect to two successive eigenvalues (double resonance situation). Using variational methods based on the critical point theory together with Morse theory, we prove two multiplicity results. In the first we obtain two nontrivial solutions and in the second three, two of which have constant sign (one positive, the other negative).	en
heal.publisher	BELGIAN MATHEMATICAL SOC TRIOMPHE	en
heal.journalName	Bulletin of the Belgian Mathematical Society - Simon Stevin	en
dc.identifier.isi	ISI:000289222500011	en
dc.identifier.volume	18	en
dc.identifier.issue	1	en
dc.identifier.spage	135	en
dc.identifier.epage	156	en