Bull. Korean Math. Soc. 2024; 61(2): 355-379
Online first article January 23, 2024 Printed March 31, 2024
https://doi.org/10.4134/BKMS.b230117
Copyright © The Korean Mathematical Society.
Jundong Zhou
Fuyang Normal University
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: Curvature estimates, hypersurfaces, continuity method, interior curvature bounds
MSC numbers: 53C42, 35J60
Supported by: 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).
2016; 53(3): 875-884
2009; 46(1): 35-43
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