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
1984-01-01
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.File in questo prodotto:
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