Regularity for a Class of Singular Complex Hessian Equations

In this paper, we study the regularity of the complex Hessian equation when the right hand has pole singularity. We show the Holder continuity of the solution to the Dirichlet problem. In particular, for the complex Monge-Ampere equation, we improve a result of [7].

Automated summary

This paper studies the regularity of the complex Hessian equation with pole singularity on the right hand side. It demonstrates the Holder continuity of the solution to the Dirichlet problem, and improves a result from a previous study on the complex Monge-Ampere equation.