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.
1984
variational inequalities; non coercive problems
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/663403
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact