TY - JOUR
T1 - Interior Gradient Estimates for General Prescribed Curvature Equations
AU - Sui , Zhenan
AU - Sun , Wei
JO - Analysis in Theory and Applications
VL - 3
SP - 260
EP - 286
PY - 2023
DA - 2023/09
SN - 39
DO - http://doi.org/10.4208/ata.OA-2022-0025
UR - https://global-sci.org/intro/article_detail/ata/22001.html
KW - Interior gradient estimate, prescribed curvature equations.
AB - <p style="text-align: justify;">In this paper, we derive the interior gradient estimate for solutions to general prescribed curvature equations. The proof is based on a fundamental observation
of Gårding&#39;s cone and some delicate inequalities under a suitably chosen coordinate chart. As an application, we obtain a Liouville type theorem.</p>