Existence and boundary behavior of solutions of Hessian equations with singular right-hand sides.

Abstract In this paper, we establish the existence of viscosity solutions of Hessian equations with singular right-hand sides and obtain the asymptotic boundary behavior of solutions. The asymptotic results generalize those for Poisson equations and Monge-Ampère equations, and are more precise than obtained from Hopf lemma. [ABSTRACT FROM AUTHOR]