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Interior Gradient Estimates for General Prescribed Curvature Equations
Zhenan Sui and Wei Sun

Anal. Theory Appl. DOI: 10.4208/ata.OA-2022-0025

Publication Date : 2022-12-12

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

  • Copyright

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