On multiple solutions for strongly resonant problems with the p-Laplacian

Papageorgiou, EH; Papageorgiou, NS

dc.contributor.author	Papageorgiou, EH	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:26:45Z
dc.date.available	2014-03-01T01:26:45Z
dc.date.issued	2007	en
dc.identifier.issn	1056-2176	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18216
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-34248570675&partnerID=40&md5=60a05bb4f2f1a5993044dd6c42679dd4	en
dc.relation.uri	http://www.dynamicpublishers.com/DSA/dsa2007pdf/175-186-Papageorgiou.pdf	en
dc.subject	Bounded Domain	en
dc.subject	Multiple Solution	en
dc.subject	Nonlinear Elliptic Problem	en
dc.subject	Potential Function	en
dc.subject	Variational Approach	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	BOUNDARY-VALUE-PROBLEMS	en
dc.subject.other	LINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	CRITICAL-POINT THEORY	en
dc.subject.other	PERTURBATIONS	en
dc.subject.other	SOLVABILITY	en
dc.subject.other	INFINITY	en
dc.title	On multiple solutions for strongly resonant problems with the p-Laplacian	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We study a nonlinear elliptic problem driven by the p-Laplacian and with a nonsmooth potential function (hemivariational inequality). On the nonsmooth potential we impose conditions of strong resonance. Following a variational approach based on the nonsmooth critical point theory and the second deformation theorem, we establish the existence of at least two nontrivial smooth solutions. © Dynamic Publishers, Inc.	en
heal.publisher	DYNAMIC PUBLISHERS, INC	en
heal.journalName	Dynamic Systems and Applications	en
dc.identifier.isi	ISI:000245583500012	en
dc.identifier.volume	16	en
dc.identifier.issue	1 SPEC. ISS.	en
dc.identifier.spage	175	en
dc.identifier.epage	186	en