Generalizations of the Lax-Milgram theorem

Drivaliaris, D; Yannakakis, N

dc.contributor.author	Drivaliaris, D	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:26:24Z
dc.date.available	2014-03-01T01:26:24Z
dc.date.issued	2007	en
dc.identifier.issn	1687-2762	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18057
dc.subject	Differential Equation	en
dc.subject	inf-sup condition	en
dc.subject	linear functionals	en
dc.subject	Monotone Operator	en
dc.subject	normed space	en
dc.subject	reflexive banach space	en
dc.subject	Value Function	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	SPACES	en
dc.title	Generalizations of the Lax-Milgram theorem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/2007/87104	en
heal.identifier.secondary	http://dx.doi.org/10.1155/2007/87104	en
heal.identifier.secondary	87104	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We prove a linear and a nonlinear generalization of the Lax-Milgram theorem. In particular, we give sufficient conditions for a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded linear functionals of the latter. We also give two applications to singular differential equations. Copyright (c) 2007 D. Drivaliaris and N. Yannakakis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en
heal.publisher	HINDAWI PUBLISHING CORPORATION	en
heal.journalName	BOUNDARY VALUE PROBLEMS	en
dc.identifier.doi	10.1155/2007/87104	en
dc.identifier.isi	ISI:000247593100001	en