In this paper, we study the regularity of the complex Hessian equation when the right hand has pole singularity. We show the Hölder continuity of the solution to the Dirichlet problem. In particular, for the complex Monge-Ampère equation, we improve a result of .
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We thank the referees for their time and comments.
The first author is supported by the CSC (Grant No. 201906320165); the second author is supported by NSFC (Grant Nos. 11571018 and 11822101)
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Wang, J.X., Zhou, B. Regularity for a Class of Singular Complex Hessian Equations. Acta. Math. Sin.-English Ser. (2021). https://doi.org/10.1007/s10114-021-0062-x
- Complex Hessian equation
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