# American Institute of Mathematical Sciences

March  2021, 20(3): 1187-1198. doi: 10.3934/cpaa.2021012

## The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space

 1 School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui Province, China 2 School of Mathematics and Statistics, Fuyang Normal University, Fuyang 236037, Anhui Province, China

* Corresponding author

Received  August 2020 Revised  December 2020 Published  February 2021

In this paper, we obtain the interior gradient estimate of the Hessian quotient curvature equation in the hyperbolic space. The method depends on the maximum principle.

Citation: Xinqun Mei, Jundong Zhou. The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space. Communications on Pure & Applied Analysis, 2021, 20 (3) : 1187-1198. doi: 10.3934/cpaa.2021012
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