Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CURVATURE ESTIMATES FOR A CLASS OF FULLY NONLINEAR ELLIPTIC EQUATIONS WITH GENERAL RIGHT HAND SIDES

  • Jundong Zhou (School of Mathematics and Statistics Fuyang Normal University)
  • Received : 2023.03.01
  • Accepted : 2023.07.21
  • Published : 2024.03.31
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Abstract

In this paper, we establish the curvature estimates for a class of curvature equations with general right hand sides depending on the gradient. We show an existence result by using the continuity method based on a priori estimates. We also derive interior curvature bounds for solutions of a class of curvature equations subject to affine Dirichlet data.

Keywords

Acknowledgement

This work was supported by the Natural Science Foundation of Anhui Province Education Department(KJ2021A0659, KJ2021A0661, 2022AH051320 and 2022AH051322), University Excellent Young Talents Research Project of Anhui Province (gxyq2022039), Scientific Research Foundation of Fuyang Normal University(2021KYQD0011).

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