Existence theorems for quasilinear multivalued boundary value problems in R-N

Kourogenis, N; Papageorgiou, NS

dc.contributor.author	Kourogenis, N	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:15:36Z
dc.date.available	2014-03-01T01:15:36Z
dc.date.issued	2000	en
dc.identifier.issn	0017-0895	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13620
dc.subject	Boundary Value Problem	en
dc.subject	Existence Theorem	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-INCLUSIONS	en
dc.title	Existence theorems for quasilinear multivalued boundary value problems in R-N	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0017089500030056	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0017089500030056	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper we study quasilinear second order boundary value problems with multivalued right hand side and Dirichlet boundary conditions. We prove three existence theorems. The first two deal with the "convex" and "nonconvex" problems respectively, while the third establishes the existence of extremal solutions. For the first two the proof is based on the theory of nonlinear operators of monotone type, while the proof of the third uses a fixed point argument.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	GLASGOW MATHEMATICAL JOURNAL	en
dc.identifier.doi	10.1017/S0017089500030056	en
dc.identifier.isi	ISI:000165063400005	en
dc.identifier.volume	42	en
dc.identifier.spage	359	en
dc.identifier.epage	369	en