Representation theorems for generators of BSDEs with monotonic and   convex growth generators
  In this paper, we establish representation theorems for generators of backward stochastic differential equations (BSDEs in short), whose generators are monotonic and convex growth in $y$ and quadratic growth in $z$. We also obtain a converse comparison theorem for such BSDEs. 
Shiqiu Zheng, Shoumei Li
math.PR