Positive solutions for nonlinear periodic problems with the scalar p-Laplacian

Denkowski, Z; Gasinski, L; Papageorgiou, NS

dc.contributor.author	Denkowski, Z	en
dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:29:01Z
dc.date.available	2014-03-01T01:29:01Z
dc.date.issued	2008	en
dc.identifier.issn	0927-6947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19087
dc.subject	Fixed point index	en
dc.subject	Generalized subdifferential	en
dc.subject	Nonsmooth potential	en
dc.subject	Nonuniform nonresonance	en
dc.subject	Scalar p-Laplacian	en
dc.subject	Weighted eigenvalue problem	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	EIGENVALUES	en
dc.subject.other	EQUATIONS	en
dc.title	Positive solutions for nonlinear periodic problems with the scalar p-Laplacian	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11228-007-0059-3	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11228-007-0059-3	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We study the existence of positive solutions for a nonlinear periodic problem driven by the scalar p-Laplacian and having a nonsmooth potential. We impose a nonuniform nonresonance condition at +∈∞ and a uniform nonresonance condition at 0∈+∈. Using degree theoretic argument based on a fixed point index for multifunctions, we prove the existence of a strict positive solution. © 2007 Springer Science + Business Media B.V.	en
heal.publisher	SPRINGER	en
heal.journalName	Set-Valued Analysis	en
dc.identifier.doi	10.1007/s11228-007-0059-3	en
dc.identifier.isi	ISI:000261792300002	en
dc.identifier.volume	16	en
dc.identifier.issue	5-6	en
dc.identifier.spage	539	en
dc.identifier.epage	561	en