Multiple Solutions for Nonlinear Neumann Problems with Asymmetric Reaction, via Morse Theory

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:05:26Z
dc.date.available	2014-03-01T02:05:26Z
dc.date.issued	2011	en
dc.identifier.issn	1536-1365	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29480
dc.subject	Neumann problem	en
dc.subject	p-Laplacian. asymmetric nonlinearity	en
dc.subject	critical groups	en
dc.subject	homotopy equivalent sets	en
dc.subject	nonlinear regularity	en
dc.subject	strong deformation retract	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	ELLIPTIC-EQUATIONS	en
dc.subject.other	NONTRIVIAL SOLUTIONS	en
dc.subject.other	LINEAR PROBLEMS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	INFINITY	en
dc.subject.other	RESONANCE	en
dc.title	Multiple Solutions for Nonlinear Neumann Problems with Asymmetric Reaction, via Morse Theory	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider a nonlinear Neumann problem driven by the p-Laplacian and with a reaction which exhibits an asymmetric behaviour near +infinity and near -infinity. Namely, it is (p - 1)-superlinear near +infinity (but need not satisfy the Ambrosetti-Rabinowitz condition) and it is (p - 1)-linear near -infinity. Combining variational methods with Morse theory, we show that the problem has at least three nontrivial smooth solutions.	en
heal.publisher	ADVANCED NONLINEAR STUDIES, INC	en
heal.journalName	ADVANCED NONLINEAR STUDIES	en
dc.identifier.isi	ISI:000296073100002	en
dc.identifier.volume	11	en
dc.identifier.issue	4	en
dc.identifier.spage	781	en
dc.identifier.epage	808	en