Journal
ACTA MATHEMATICA SINICA-ENGLISH SERIES
Volume 37, Issue 11, Pages 1709-1720Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10114-021-0062-x
Keywords
Complex Hessian equation; singularity; regularity
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Funding
- CSC [201906320165]
- NSFC [11571018, 11822101]
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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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