Year: 2023
Author: Zhenan Sui, Wei Sun
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 3 : pp. 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 Gårding's cone and some delicate inequalities under a suitably chosen coordinate chart. As an application, we obtain a Liouville type theorem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2022-0025
Analysis in Theory and Applications, Vol. 39 (2023), Iss. 3 : pp. 260–286
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Interior gradient estimate prescribed curvature equations.