首页|Interior Gradient Estimates for General Prescribed Curvature Equations

Interior Gradient Estimates for General Prescribed Curvature Equations

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In this paper,we derive the interior gradient estimate for solutions to gen-eral 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.

Interior gradient estimateprescribed curvature equations

Zhenan Sui、Wei Sun

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Institute for Advanced Study in Mathematics of HIT,Harbin Institute of Technology,Harbin,Heilongjiang 150001,China

Institute of Mathematical Sciences,ShanghaiTech University,Shanghai 201210,China

国家自然科学基金国家自然科学基金a startup grant from ShanghaiTech University

1200113811501119

2023

10.4208/ata.OA-2022-0025

分析、理论与应用(英文版)
南京大学

分析、理论与应用(英文版)

影响因子：0.111
ISSN：1672-4070
年,卷(期)：2023.39(3)
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