Existence and multiplicity of positive solutions for nonlinear boundary value problems driven by the scalar p-Laplacian

Filippakis, ME; Papageorgiou, NS

dc.contributor.author	Filippakis, ME	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:20:26Z
dc.date.available	2014-03-01T01:20:26Z
dc.date.issued	2004	en
dc.identifier.issn	1534-0392	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15923
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-24944516630&partnerID=40&md5=41235b336b5a660920d52f6a9e621fe7	en
dc.subject	Generalized subdifferential	en
dc.subject	Locally Lipschitz function	en
dc.subject	Mountain Pass Theorem	en
dc.subject	Multiple strictly positive solutions	en
dc.subject	Nonsmooth critical point theory	en
dc.subject	Nonsmooth Palais-Smale condition	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	QUASILINEAR ELLIPTIC-EQUATIONS	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	NONUNIFORM NONRESONANCE	en
dc.title	Existence and multiplicity of positive solutions for nonlinear boundary value problems driven by the scalar p-Laplacian	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	We study nonlinear Dirichlet problems driven by the scalar p-Laplacian with a nonsmooth potential. First for the so-called ""sublinear problem"", under nonuniform nonresonance conditions, we establish the existence of at least one strictly positive solution. Then we prove two multiplicity results for positive solutions. The first concerns the ""superlinear problem"" and the second is for the sublinear problem. The method of proof is variational based on the nonsmooth critical point theory for locally Lipschitz functions. Our results complement the ones obtained by De Coster (Nonlin.Anal.23 (1995)).	en
heal.publisher	AMER INST MATHEMATICAL SCIENCES	en
heal.journalName	Communications on Pure and Applied Analysis	en
dc.identifier.isi	ISI:000226123400010	en
dc.identifier.volume	3	en
dc.identifier.issue	4	en
dc.identifier.spage	729	en
dc.identifier.epage	736	en