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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2009

A converse to the Lions-Stampacchia Theorem

Emil Ernst
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Michel Théra
DMI

Résumé

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.

Dates et versions

hal-00336376 , version 1 (03-11-2008)

Identifiants

Citer

Emil Ernst, Michel Théra. A converse to the Lions-Stampacchia Theorem. ESAIM: Control, Optimisation and Calculus of Variations, 2009, 15 (4), pp.810-817. ⟨10.1051/cocv:2008054⟩. ⟨hal-00336376⟩

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