Nonlinear boundary value problems for second order differential inclusions

Kyritsi, STh; Matzakos, N; Papageorgiou, N

dc.contributor.author	Kyritsi, STh	en
dc.contributor.author	Matzakos, N	en
dc.contributor.author	Papageorgiou, N	en
dc.date.accessioned	2014-03-01T01:22:49Z
dc.date.available	2014-03-01T01:22:49Z
dc.date.issued	2005	en
dc.identifier.issn	0011-4642	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16667
dc.subject	Coercive operator	en
dc.subject	Eigenfunction	en
dc.subject	Eigenvalue	en
dc.subject	Generalized pseudomonotone operator	en
dc.subject	Maximal monotone operator	en
dc.subject	Measurable multifunction	en
dc.subject	p-Laplacian	en
dc.subject	Pseudomonotone operator	en
dc.subject	Rayleigh quotient	en
dc.subject	Surjective operator	en
dc.subject	Usc and lsc multifunction	en
dc.subject	Yosida approximation	en
dc.subject.classification	Mathematics	en
dc.subject.other	EXISTENCE	en
dc.subject.other	OPERATORS	en
dc.title	Nonlinear boundary value problems for second order differential inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10587-005-0046-5	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10587-005-0046-5	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form x -> a(x, x')'. In this problem the maximal monotone term is required to be defined everywhere in the state space RN. The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form x -> (a(x)x')'. In this case the maximal monotone term need not be defined everywhere, incorporating into our framework differential variational inequalities. Using techniques from multivalued analysis and from nonlinear analysis, we prove the existence of solutions for both problems under convexity and nonconvexity conditions on the multivalued right-hand side.	en
heal.publisher	CZECHOSLOVAK MATHEMATICAL JOURNAL	en
heal.journalName	Czechoslovak Mathematical Journal	en
dc.identifier.doi	10.1007/s10587-005-0046-5	en
dc.identifier.isi	ISI:000234865200001	en
dc.identifier.volume	55	en
dc.identifier.issue	3	en
dc.identifier.spage	545	en
dc.identifier.epage	579	en