On the exterior Dirichlet problem for Hessian equations
  In this paper, we establish a theorem on the existence of the solutions of the exterior Dirichlet problem for Hessian equations with prescribed asymptotic behavior at infinity. This extends a result of Caffarelli and Li for the Monge-Amp\`{e}re equation to Hessian equations. 
Jiguang Bao, Haigang Li, Yanyan Li
math.AP