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

Zusammenfassung

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.