A multiplicity theorem for double resonant periodic problems

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:32:28Z
dc.date.available	2014-03-01T01:32:28Z
dc.date.issued	2010	en
dc.identifier.issn	1536-1365	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20149
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77958039314&partnerID=40&md5=537b4713d22b457c134c4923f38d9703	en
dc.subject	Critical groups	en
dc.subject	Double resonance	en
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	Multiple solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	ORDINARY DIFFERENTIAL-EQUATIONS	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	PERTURBATIONS	en
dc.subject.other	NONRESONANCE	en
dc.subject.other	EIGENVALUES	en
dc.title	A multiplicity theorem for double resonant periodic problems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider semilinear periodic ordinary differential equations with the nonlinearity exhibiting double resonance at infinity in the spectral interval [lambda(k), lambda(k+1)], k >= 1. Using minimax methods based on the critical point theory together with Morse theory, we show that the problem has at least four nontrivial solutions.	en
heal.publisher	ADVANCED NONLINEAR STUDIES, INC	en
heal.journalName	Advanced Nonlinear Studies	en
dc.identifier.isi	ISI:000282708000005	en
dc.identifier.volume	10	en
dc.identifier.issue	4	en
dc.identifier.spage	819	en
dc.identifier.epage	836	en