Nonlinear neumann problems near resonance

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	2014-03-01T01:31:22Z
dc.date.available	2014-03-01T01:31:22Z
dc.date.issued	2009	en
dc.identifier.issn	0022-2518	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19790
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	Multiple solutions	en
dc.subject	Near resonance from the left	en
dc.subject	Near resonance from the right	en
dc.subject	P-Laplacian	en
dc.subject	Positive solutions	en
dc.subject.classification	Mathematics	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	P-LAPLACIAN	en
dc.subject.other	MULTIPLE SOLUTIONS	en
dc.subject.other	VARIATIONAL APPROACH	en
dc.subject.other	LOCAL MINIMIZERS	en
dc.subject.other	CRITICAL-POINTS	en
dc.subject.other	EXISTENCE	en
dc.subject.other	REGULARITY	en
dc.subject.other	PRINCIPLE	en
dc.title	Nonlinear neumann problems near resonance	en
heal.type	journalArticle	en
heal.identifier.primary	10.1512/iumj.2009.58.3565	en
heal.identifier.secondary	http://dx.doi.org/10.1512/iumj.2009.58.3565	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We study nonlinear parametric Neumann problems driven by the p-Laplacian differential operator. We examine the existence and multiplicity of solutions and of positive solutions, when the parameter is near resonance. We consider two distinct cases. The first when the near resonance occurs from the left and the other when it occurs from the right. Our method of proof combines variational methods based on the critical point theory with Morse theoretic techniques. Indiana University Mathematics Journal ©.	en
heal.publisher	INDIANA UNIV MATH JOURNAL	en
heal.journalName	Indiana University Mathematics Journal	en
dc.identifier.doi	10.1512/iumj.2009.58.3565	en
dc.identifier.isi	ISI:000268360000011	en
dc.identifier.volume	58	en
dc.identifier.issue	3	en
dc.identifier.spage	1257	en
dc.identifier.epage	1279	en