Abstract
This note treats a class of random variational inequalities. In addition to existence and uniqueness results under coercivity assumptions, a stability result is presented for perturbations in the given real-valued random variables and also for perturbations in the convex closed subset with respect to Mosco convergence. This stability result is applied to random elliptic boundary value problems with unilateral Signorini boundary conditions, where randomness enters in the coefficient of the elliptic operator and in the right hand side of the partial differential equation.
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