Nonlinear second-order multivalued boundary value problems

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:19:20Z
dc.date.available	2014-03-01T01:19:20Z
dc.date.issued	2003	en
dc.identifier.issn	0253-4142	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15429
dc.subject	Convex and nonconvex problems	en
dc.subject	Hartman condition	en
dc.subject	Leray-Schauder alternative	en
dc.subject	Maximal monotone operator	en
dc.subject	Pseudomonotone operator	en
dc.subject	Vector p-Laplacian	en
dc.subject.classification	Mathematics	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Problem solving	en
dc.subject.other	Theorem proving	en
dc.subject.other	Vectors	en
dc.subject.other	Hartman condition	en
dc.subject.other	Leray-Schauder alternative	en
dc.subject.other	Maximal monotone operator	en
dc.subject.other	Boundary value problems	en
dc.title	Nonlinear second-order multivalued boundary value problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02829608	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02829608	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper we study nonlinear second-order differential inclusions involv- ing the ordinary vector p-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions. Our framework is general and unifying and incorporates gradient systems, evolutionary variational inequalities and the classical boundary value problems, namely the Dirichlet, the Neumann and the periodic problems. Using notions and techniques from the nonlinear operator theory and from multivalued analysis, we obtain solutions for both the 'convex' and 'nonconvex' problems. Finally, we present the cases of special interest, which fit into our framework, illustrating the generality of our result.	en
heal.publisher	INDIAN ACADEMY SCIENCES	en
heal.journalName	Proceedings of the Indian Academy of Sciences: Mathematical Sciences	en
dc.identifier.doi	10.1007/BF02829608	en
dc.identifier.isi	ISI:000185414900006	en
dc.identifier.volume	113	en
dc.identifier.issue	3	en
dc.identifier.spage	293	en
dc.identifier.epage	319	en