The evolution of complete non-compact graphs by powers of Gauss   curvature
  We study the evolution of convex complete non-compact graphs by positive powers of Gauss curvature. We show that if the initial complete graph has a local uniform convexity, then the graph evolves by any positive power of Gauss curvature for all time. In particular, the initial graph is not necessarily differentiable. 
Kyeongsu Choi, Panagiota Daskalopoulos, Lami Kim, Ki-ahm Lee
math.DG