On resonant Neumann problems: Multiplicity of solutions

Papageorgiou, NS; Coelho Rodrigues, AIS; Staicu, V

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Coelho Rodrigues, AIS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:36:32Z
dc.date.available	2014-03-01T01:36:32Z
dc.date.issued	2011	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21329
dc.subject	Asymptotically linear problem	en
dc.subject	Critical groups	en
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	Reduction technique	en
dc.subject	Resonant problems	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Asymptotically linear	en
dc.subject.other	Critical groups	en
dc.subject.other	Morse the-ory	en
dc.subject.other	Mountain pass theorem	en
dc.subject.other	Reduction technique	en
dc.subject.other	Resonant problems	en
dc.subject.other	Topology	en
dc.subject.other	Boundary value problems	en
dc.title	On resonant Neumann problems: Multiplicity of solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2011.06.031	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2011.06.031	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a semilinear Neumann problem with an asymptotically linear reaction term. We assume that resonance occurs at infinity. Using variational methods based on the critical point theory, together with the reduction technique and Morse theory, we show that the problem has at least four nontrivial smooth solutions. (C) 2011 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2011.06.031	en
dc.identifier.isi	ISI:000293784500061	en
dc.identifier.volume	74	en
dc.identifier.issue	17	en
dc.identifier.spage	6487	en
dc.identifier.epage	6498	en