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 -
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's cone and some delicate inequalities under a suitably chosen coordinate chart. As an application, we obtain a Liouville type theorem.