On noncoercive periodic systems with vector p-Laplacian

Jebelean, P; Papageorgiou, NS

dc.contributor.author	Jebelean, P	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T02:03:03Z
dc.date.available	2014-03-01T02:03:03Z
dc.date.issued	2011	en
dc.identifier.issn	12303429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29343
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84855858263&partnerID=40&md5=c0e6ffae2024296a544a4ec6a74a263e	en
dc.subject	Local linking	en
dc.subject	p-superlinear potential	en
dc.subject	PS and C conditions	en
dc.subject	Second deformation theorem	en
dc.subject	Vvector p-Laplacian	en
dc.title	On noncoercive periodic systems with vector p-Laplacian	en
heal.type	journalArticle	en
heal.publicationDate	2011	en
heal.abstract	We consider nonlinear periodic systems driven by the vector p-Laplacian. An existence and a multiplicity theorem are proved. In the existence theorem the potential function is p-superlinear, but in general does not satisfy the AR-condition. In the multiplicity theorem the problem is strongly resonant with respect to the principal eigenvalue λ0 = 0. In both of the cases the Euler-Lagrange functional is noncoercive and the method is variational. © 2011 Juliusz Schauder University Centre for Nonlinear Studies.	en
heal.journalName	Topological Methods in Nonlinear Analysis	en
dc.identifier.volume	38	en
dc.identifier.issue	2	en
dc.identifier.spage	249	en
dc.identifier.epage	263	en