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

Xinqun Mei; Jundong Zhou

doi:10.3934/cpaa.2021012

Article Contents

2021, Volume 20, Issue 3: 1187-1198. Doi: 10.3934/cpaa.2021012

This issue Previous Article The BSE concepts for vector-valued Lipschitz algebras Next Article Cylindrical estimates for mean curvature flow in hyperbolic spaces

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

Xinqun Mei^1, , and
Jundong Zhou^1,2,

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
^* Corresponding author

Received: July 31, 2020

Revised: November 30, 2020

Early access: February 2021

Published: March 2021

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Abstract

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.

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Mathematics Subject Classification: Primary:35J60;Secondary:35B45.

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References

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