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 G°arding’s cone and some delicate inequalities un...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 G°arding’s cone and some delicate inequalities under a suitably chosen coordinate chart.As an application,we obtain a Liouville type theorem.展开更多
基金supported by National Natural Science Foundation of China(No.12001138)The second author is supported by National Natural Science Foundation of China(No.11501119)a start-up grant from ShanghaiTech University.
文摘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 G°arding’s cone and some delicate inequalities under a suitably chosen coordinate chart.As an application,we obtain a Liouville type theorem.
