ON a p-superlinear Neumann p-Laplacian equation

Aizicovici, S; Papageorgiou, NS; Staicu, V

dc.contributor.author	Aizicovici, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:31:32Z
dc.date.available	2014-03-01T01:31:32Z
dc.date.issued	2009	en
dc.identifier.issn	1230-3429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19807
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77956459957&partnerID=40&md5=c908d9c03cf54e817adac1ee442bf165	en
dc.subject	C-condition	en
dc.subject	Critical groups	en
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	P-superlinearity	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	NONTRIVIAL SOLUTIONS	en
dc.subject.other	MULTIPLICITY	en
dc.subject.other	EXISTENCE	en
dc.subject.other	RESONANCE	en
dc.subject.other	THEOREM	en
dc.title	ON a p-superlinear Neumann p-Laplacian equation	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We consider a nonlinear Neumann problem, driven by the p-Laplacian, and with a nonlinearity which exhibits a p-superlinear growth near infinity, but does not necessarily satisfy the Ambrosetti-Rabinowitz condition. Using variational methods based on critical point theory, together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions, of which two have a fixed sign (one positive and the other negative). © 2009 Juliusz Schauder Center for Nonlinear Studies.	en
heal.publisher	JULIUSZ SCHAUDER CTR NONLINEAR STUDIES	en
heal.journalName	Topological Methods in Nonlinear Analysis	en
dc.identifier.isi	ISI:000269865700007	en
dc.identifier.volume	34	en
dc.identifier.issue	1	en
dc.identifier.spage	111	en
dc.identifier.epage	130	en