A general existence and uniqueness result on multidimensional BSDEs
  This paper establishes a new existence and uniqueness result of solutions for multidimensional backward stochastic differential equations (BSDEs) whose generators satisfy a weak monotonicity condition and a general growth condition in $y$, which generalizes the corresponding results in [2], [3] and [5]. 
ShaoYa Xu and ShengJun Fan
math.PR