On resonant Neumann problems

Motreanu, D; Motreanu, VV; Papageorgiou, NS

dc.contributor.author	Motreanu, D	en
dc.contributor.author	Motreanu, VV	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T11:46:29Z
dc.date.available	2014-03-01T11:46:29Z
dc.date.issued	2011	en
dc.identifier.issn	00255831	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37945
dc.subject	Mathematics Subject Classification (2000): 35J20, 35J60, 58E05	en
dc.title	On resonant Neumann problems	en
heal.type	other	en
heal.identifier.primary	10.1007/s00208-011-0763-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00208-011-0763-z	en
heal.publicationDate	2011	en
heal.abstract	We consider semilinear Neumann problems at resonance and prove existence and multiplicity theorems. The existence theorems allow resonance with respect to any eigenvalue of the negative Neumann Laplacian. The multiplicity theorems concern problems resonant at 0 (the principal eigenvalue) or at the first nonzero eigenvalue. Our approach uses tools from critical point theory and from Morse theory. © 2011 Springer-Verlag.	en
heal.journalName	Mathematische Annalen	en
dc.identifier.doi	10.1007/s00208-011-0763-z	en
dc.identifier.spage	1	en
dc.identifier.epage	29	en