A multiplicity theorem for Neumann problems with asymmetric nonlinearity

Papageorgiou, NS; Smyrlis, G

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Smyrlis, G	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	0373-3114	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20150
dc.subject	Asymmetric nonlinearity	en
dc.subject	Critical group	en
dc.subject	Maximum principle	en
dc.subject	Morse theory	en
dc.subject	Strong deformation retract	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	INFINITY	en
dc.subject.other	RESONANCE	en
dc.subject.other	EXISTENCE	en
dc.title	A multiplicity theorem for Neumann problems with asymmetric nonlinearity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10231-009-0108-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10231-009-0108-7	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear Neumann problem with a reaction term which exhibits an asymmetric behavior near +∞ and near -∞. Namely, it is asymptotically superlinear at +∞ and linear at -∞. Using variational methods based on critical point theory, together with truncation techniques and Morse theory, we show that the problem has at least three nontrivial smooth solutions, two of which have constant sign (one positive and the other negative). © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag 2009.	en
heal.publisher	SPRINGER HEIDELBERG	en
heal.journalName	Annali di Matematica Pura ed Applicata	en
dc.identifier.doi	10.1007/s10231-009-0108-7	en
dc.identifier.isi	ISI:000275544800004	en
dc.identifier.volume	189	en
dc.identifier.issue	2	en
dc.identifier.spage	253	en
dc.identifier.epage	272	en