A Relaxation Approach to Vector-Valued Allen-Cahn MPEC Problems

摘要

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 regularized-relaxed subproblems converge to weak stationary points of the limit problem.