Multiple positive solutions for nonlinear periodic problems

Hu, S; Papageorgiou, NS

dc.contributor.author	Hu, S	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:33:47Z
dc.date.available	2014-03-01T01:33:47Z
dc.date.issued	2010	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20595
dc.subject	Morse theory	en
dc.subject	Mountain pass theorem	en
dc.subject	Periodic scalar p-Laplacian	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Caratheodory	en
dc.subject.other	Morse the-ory	en
dc.subject.other	Mountain pass theorem	en
dc.subject.other	Multiple positive solutions	en
dc.subject.other	Non-Linearity	en
dc.subject.other	P-Laplacian	en
dc.subject.other	Periodic problems	en
dc.subject.other	Positive solution	en
dc.subject.other	Semilinear	en
dc.subject.other	Truncation techniques	en
dc.subject.other	Variational methods	en
dc.subject.other	Landforms	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Topology	en
dc.subject.other	Variational techniques	en
dc.subject.other	Laplace transforms	en
dc.title	Multiple positive solutions for nonlinear periodic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2010.06.056	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2010.06.056	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	We consider a nonlinear periodic equation driven by the scalar p-Laplacian and with a Caratheodory asymptotically (p-1)-linear nonlinearity. Using variational methods coupled with suitable truncation techniques, we show that the problem has at least two positive solutions. For the semilinear case (p=2), using Morse theory we show that the problem has three distinct positive solutions. © 2010 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2010.06.056	en
dc.identifier.isi	ISI:000282368300001	en
dc.identifier.volume	73	en
dc.identifier.issue	12	en
dc.identifier.spage	3675	en
dc.identifier.epage	3687	en