Strongly nonlinear second order differential inclusions with generalized boundary conditions

Kourogenis, NC

dc.contributor.author	Kourogenis, NC	en
dc.date.accessioned	2014-03-01T01:19:35Z
dc.date.available	2014-03-01T01:19:35Z
dc.date.issued	2003	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15586
dc.subject	Continuous selection	en
dc.subject	Differential inclusion	en
dc.subject	Dirichlet problem	en
dc.subject	Fixed point problem	en
dc.subject	Maximal monotone map	en
dc.subject	Measurable selection	en
dc.subject	Multivalued Leray-Schauder alternative theorem	en
dc.subject	Nagumo-Hartman condition	en
dc.subject	Neumann problem	en
dc.subject	P-Laplacian	en
dc.subject	Periodic problem	en
dc.subject	Resolvent operator	en
dc.subject	Usc and lsc multifunction	en
dc.subject	Yosida approximation	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	EXISTENCE	en
dc.subject.other	OPERATORS	en
dc.title	Strongly nonlinear second order differential inclusions with generalized boundary conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0022-247X(02)00511-5	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0022-247X(02)00511-5	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper, we study second order differential inclusions in ℝN with a maximal monotone term and generalized boundary conditions. The nonlinear differential operator need not be necessary homogeneous and incorporates as a special case the one-dimensional p-Laplacian. The generalized boundary conditions incorporate as special cases well-known problems such as the Dirichlet (Picard), Neumann and periodic problems. As application to the proven results we obtain existence theorems for both ""convex"" and ""nonconvex"" problems when the maximal monotone term A is defined everywhere and when not (case of variational inequalities). © 2003 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/S0022-247X(02)00511-5	en
dc.identifier.isi	ISI:000186948500003	en
dc.identifier.volume	287	en
dc.identifier.issue	2	en
dc.identifier.spage	348	en
dc.identifier.epage	364	en