The interior gradient estimate for a class of mixed Hessian curvature equations
J. Korean Math. Soc. 2022 Vol. 59, No. 1, 53-69
Published online November 25, 2021
Printed January 1, 2022
Jundong Zhou
Fuyang Normal University
Abstract : In this paper, we are concerned with a class of mixed Hessian curvature equations with non-degeneration. By using the maximum principle and constructing an auxiliary function, we obtain the interior gradient estimate of $(k-1)$-admissible solutions.
Keywords : Interior gradient, curvature equation, $(k-1)$-admissible solution
MSC numbers : Primary 35J60; Secondary 35B45
Supported by : Research of the author was supported by National Natural Science Foundation of China (grant no.11971253), the Natural Science Foundation of Anhui Province Education Department (grant nos. KJ2017A341 and KJ2018A0330) Quality Enginering Project of Anhui Province Education Department (No. 2018jyxm0491, 2019mooc205, 2020szsfkc0686); Science Research Project of Fuyang Normal University (No. 2021KYQD0011).
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