Extremal solutions for nonlinear second order differential inclusions

Douka, P; Papageorgiou, NS

dc.contributor.author	Douka, P	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:22:23Z
dc.date.available	2014-03-01T01:22:23Z
dc.date.issued	2005	en
dc.identifier.issn	0025-584X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16546
dc.subject	Bernstein-Nagumo-Wintner growth condition	en
dc.subject	Completely continuous operator	en
dc.subject	Fixed point	en
dc.subject	Lower solution	en
dc.subject	Maximal monotone operator	en
dc.subject	Multifunction	en
dc.subject	Ordinary scalar p-laplacian	en
dc.subject	Upper solution	en
dc.subject	Zorn's lemma	en
dc.subject.classification	Mathematics	en
dc.title	Extremal solutions for nonlinear second order differential inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/mana.200310225	en
heal.identifier.secondary	http://dx.doi.org/10.1002/mana.200310225	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We consider a nonlinear second order differential inclusion driven by the scalar p-Laplacian and with nonlinear multivalued boundary conditions. Assuming the existence of an ordered pair of upper-lower solutions and using truncation and penalization techniques together with Zorn's lemma, we show that the problem has extremal solutions in the order interval formed by the upper und lower solutions. We present some special cases of interest and show that our method applies also to the periodic problem. (C) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	Mathematische Nachrichten	en
dc.identifier.doi	10.1002/mana.200310225	en
dc.identifier.isi	ISI:000226835800004	en
dc.identifier.volume	278	en
dc.identifier.issue	1-2	en
dc.identifier.spage	43	en
dc.identifier.epage	52	en