Nontrivial solutions for Neumann problems with an indefinite linear part

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:57Z
dc.date.available	2014-03-01T01:33:57Z
dc.date.issued	2010	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20628
dc.subject	Ambrosetti-Rabinowitz condition	en
dc.subject	Cerami condition	en
dc.subject	Indefinite linear part	en
dc.subject	Local linking	en
dc.subject	Neumann problem	en
dc.subject	Spectral decomposition	en
dc.subject	Superlinear nonlinearity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Ambrosetti-Rabinowitz condition	en
dc.subject.other	Cerami condition	en
dc.subject.other	Indefinite linear part	en
dc.subject.other	Local linking	en
dc.subject.other	Neumann problem	en
dc.subject.other	Spectral decomposition	en
dc.subject.other	Superlinear	en
dc.subject.other	Boundary value problems	en
dc.title	Nontrivial solutions for Neumann problems with an indefinite linear part	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.amc.2010.08.004	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.amc.2010.08.004	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	In this paper, we consider a semilinear Neumann problem with an indefinite linear part and a Caratheodory nonlinearity which is superlinear near infinity and near zero, but does not satisfy the Ambrosetti-Rabinowitz condition. Using an abstract existence theorem for C-1-functions having a local linking at the origin, we establish the existence of at least one nontrivial smooth solution. (C) 2010 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/j.amc.2010.08.004	en
dc.identifier.isi	ISI:000283049300041	en
dc.identifier.volume	217	en
dc.identifier.issue	6	en
dc.identifier.spage	2666	en
dc.identifier.epage	2675	en