Strongly nonlinear multivalued boundary value problems

Gasinski, L; Papageorgiou, NS

dc.contributor.author	Gasinski, L	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:19:34Z
dc.date.available	2014-03-01T01:19:34Z
dc.date.issued	2003	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15585
dc.subject	Convex and nonconvex problems	en
dc.subject	Dirichlet problem	en
dc.subject	Hartman condition	en
dc.subject	Maximal monotone operator	en
dc.subject	Neumann problem	en
dc.subject	Periodic problems	en
dc.subject	Pseudomonotone operator	en
dc.subject	Vector p -Laplacian	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Vectors	en
dc.subject.other	Maximal monotone operators	en
dc.subject.other	Boundary value problems	en
dc.title	Strongly nonlinear multivalued boundary value problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0362-546X(02)00162-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0362-546X(02)00162-1	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper we study nonlinear second-order differential inclusions involving the differential operator depending on both: unknown function x and its derivative x′, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions. Our framework is general and can be applied to 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 results. © 2002 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/S0362-546X(02)00162-1	en
dc.identifier.isi	ISI:000179666800010	en
dc.identifier.volume	52	en
dc.identifier.issue	4	en
dc.identifier.spage	1219	en
dc.identifier.epage	1238	en