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A converse to the Lions-Stampacchia Theorem
Published online by Cambridge University Press: 20 August 2008
Abstract
In this paper we show that a linear variational inequality over an infinite dimensional real Hilbert space admits solutions for every nonempty bounded closed and convex set, if and only if the linear operator involved in the variational inequality is pseudo-monotone in the sense of Brezis.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 4 , October 2009 , pp. 810 - 817
- Copyright
- © EDP Sciences, SMAI, 2008
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