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

摘要

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-Ampere equations, and are more precise than obtained from Hopf lemma. (C) 2019 Elsevier Inc. All rights reserved.