期刊
ACTA MATHEMATICA SINICA-ENGLISH SERIES
卷 37, 期 11, 页码 1709-1720出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s10114-021-0062-x
关键词
Complex Hessian equation; singularity; regularity
资金
- CSC [201906320165]
- NSFC [11571018, 11822101]
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.
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].
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