Let K be a convex subset of a real Hilbert space V, let a:{u,v}→a(u,v) be a real bilinear continuous form on V×V, which is positive semidefinite but not necessarily coercive, and let L be given in V′. We prove quite general existence results for the problem: Find u∈K such that a(u,u−v)≤⟨L,u−v⟩, for all v∈K.

Inequations variationnelles non coercives

TOMARELLI, FRANCO
1984

Abstract

Let K be a convex subset of a real Hilbert space V, let a:{u,v}→a(u,v) be a real bilinear continuous form on V×V, which is positive semidefinite but not necessarily coercive, and let L be given in V′. We prove quite general existence results for the problem: Find u∈K such that a(u,u−v)≤⟨L,u−v⟩, for all v∈K.
variational inequalities; non coercive problems
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/663403
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