In this paper we study an optimal control problem for a nonlinear monotone variational inequality with degenerate weight function and with the coefficients which we adopt as controls in L1(). Since these types of variational inequalities can exhibit the Lavrentie? phenomenon, we consider the optimal control problem in coefficients in the so-called class of H-admissible solutions. We prove attainability of H-optimal pairs via optimal solutions of some non-degenerate perturbed optimal control problems.
