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Research Article | Open Access

Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle

Bin Deng1, Xinan Ma2( )
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei Province, China
School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, Anhui Province, China
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Abstract

In this paper, we use the maximum principle and moving frame technique to prove the global gradient estimates for the higher-order curvature equations with prescribed contact angle problems.

Keywords

fully nonlinear elliptichigher-order curvature equationsgradient estimateprescribed contact angle

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Mathematics in Engineering
Volume 5 Issue 6,
December 2023
Pages 1-13
DOI: 10.3934/mine.2023093

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Cite this article:
Deng B, Ma X. Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle. Mathematics in Engineering, 2023, 5(6): 1-13. https://doi.org/10.3934/mine.2023093

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Received: 11 January 2023
Revised: 13 May 2023
Accepted: 01 June 2023
Published: 15 December 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)