Entire spacelike hypersurfaces of prescribed Gauss curvature in   Minkowski space
  We are concerned with spacelike convex hypersurfaces of positive constant (K-hypersurfaces) or prescribed Gauss curvature in Minkowski space. Our main purpose is to study entire solutions as well as the Dirichlet problem in bounded domains of the related Monge-Ampere equation. 
Bo Guan, Huaiyu Jian and Richard M. Schoen