Interior Gradient Estimates for General Prescribed Curvature Equations
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@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 Gårding'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} }
TY - JOUR
T1 - Interior Gradient Estimates for General Prescribed Curvature Equations
AU - Sui , Zhenan
AU - Sun , Wei
JO - Analysis in Theory and Applications
VL - 3
SP - 260
EP - 286
PY - 2023
DA - 2023/09
SN - 39
DO - http://doi.org/10.4208/ata.OA-2022-0025
UR - https://global-sci.org/intro/article_detail/ata/22001.html
KW - Interior gradient estimate, prescribed curvature equations.
AB -
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.
Zhenan Sui & Wei Sun. (2023). Interior Gradient Estimates for General Prescribed Curvature Equations.
Analysis in Theory and Applications. 39 (3).
260-286.
doi:10.4208/ata.OA-2022-0025
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