Positive solutions for the periodic scalar p-Laplacian: Existence and uniqueness

Kyritsi, ST; Papageorgiou, NS

dc.contributor.author	Kyritsi, ST	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:12:02Z
dc.date.available	2014-03-01T02:12:02Z
dc.date.issued	2012	en
dc.identifier.issn	10275487	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29990
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84864059899&partnerID=40&md5=908f15d767288de947df517e706a574f	en
dc.subject	Existence and uniqueness of positive solutions	en
dc.subject	Scalar p-Laplacian	en
dc.subject	Unilateral growth	en
dc.subject	Weighted eigenvalues	en
dc.title	Positive solutions for the periodic scalar p-Laplacian: Existence and uniqueness	en
heal.type	journalArticle	en
heal.publicationDate	2012	en
heal.abstract	We study a nonlinear periodic problem driven by the scalar p-Laplacian. The reaction term is a Carathéodory function f(t, x) which satisfies only a unilateral growth condition in the x-variable. Assuming strict monotonicity for the quotient f(t, x)/xp-1 and using variational methods coupled with suitable truncation techniques, we produce necessary and sufficient conditions for the existence and uniqueness of positive solutions.	en
heal.journalName	Taiwanese Journal of Mathematics	en
dc.identifier.volume	16	en
dc.identifier.issue	4	en
dc.identifier.spage	1345	en
dc.identifier.epage	1361	en