Multi-dimensional BSDEs with mean reflection

In this paper, we consider multi-dimensional mean reflected backward stochastic differential equations (BSDEs) with possibly non-convex reflection domains along inward normal direction, which were introduced by Briand, Elie and Hu [6] in the scalar case. We first apply a fixed-point argument to establish uniqueness existence result under an additional bounded condition on driver. Then, help of priori estimates, develop successive approximation procedure remove for general