A relaxation approach to vector-valued Allen-Cahn MPEC problems

In this paper we consider a vector-valued Allen-Cahn MPEC problem. To derive optimality conditions we exploit a regularization-relaxation technique. The optimality system of the regularized-relaxed subproblems are investigated by applying the classical result of Zowe and Kurcyusz. Finally we show that the stationary points of the regularizedrelaxed subproblems converge to weak stationary points of the limit problem