Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE INTERIOR GRADIENT ESTIMATE FOR A CLASS OF MIXED HESSIAN CURVATURE EQUATIONS

  • Zhou, Jundong (School of Mathematical Sciences University of Science and Technology of China and School of Mathematics and Statistics Fuyang Normal University)
  • Received : 2020.12.09
  • Accepted : 2021.10.14
  • Published : 2022.01.01
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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

Acknowledgement

The author would like to thank prof. Chuan-Qiang Chen for a simpler proof for Lemma 3.1.

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