@Article{ATA-39-260, author = {Sui , Zhenan and Sun , Wei}, title = {Interior Gradient Estimates for General Prescribed Curvature Equations}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {3}, pages = {260--286}, abstract = {

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

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2022-0025}, url = {http://global-sci.org/intro/article_detail/ata/22001.html} }