Regularity for a Class of Singular Complex Hessian Equations  

作　　者：Jia Xiang WANG Bin ZHOU 

机构地区：[1]School of Mathematical Sciences,Zhejiang University,Hangzhou 310027,P.R.China [2]School of Mathematical Sciences,Peking University,Beijing 100871,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第11期1709-1720,共12页数学学报（英文版）

基　　金：supported by the CSC(Grant No.201906320165);supported by NSFC(Grant Nos.11571018 and 11822101)。

摘　　要：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-Ampère equation,we improve a result of[7].

关 键 词：Complex Hessian equation SINGULARITY REGULARITY 

分 类 号：O175[理学—数学]