Nonlinear periodic parabolic problems with nonmonotone discontinuities

Kandilakis, DA; Papageorgiou, NS

dc.contributor.author	Kandilakis, DA	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:13:56Z
dc.date.available	2014-03-01T01:13:56Z
dc.date.issued	1998	en
dc.identifier.issn	0013-0915	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12795
dc.subject	Parabolic Problem	en
dc.subject.classification	Mathematics	en
dc.subject.other	UNIQUENESS	en
dc.subject.other	EQUATIONS	en
dc.title	Nonlinear periodic parabolic problems with nonmonotone discontinuities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0013091500019453	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0013091500019453	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	In this paper we consider a nonlinear periodic parabolic boundary value problem with a discontinuous nonmonotone nonlinearity. Using a lifting result for operators of type (S+), a general surjectivity theorem for operators of monotone type and an auxiliary problem defined by truncation and penalization we prove the existence of a solution in the order interval formed by an upper and lower solution. Moreover we show that the set of all such solutions is compact in L-p(T, W-0(l,p)(Z)).	en
heal.publisher	OXFORD UNIV PRESS	en
heal.journalName	PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY	en
dc.identifier.doi	10.1017/S0013091500019453	en
dc.identifier.isi	ISI:000072103700007	en
dc.identifier.volume	41	en
dc.identifier.spage	117	en
dc.identifier.epage	132	en