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

Bin Deng; Xinan Ma; Bin Deng; Xinan Ma

doi:10.3934/mine.2023093

Mathematics in Engineering

2023, Volume 5, Issue 6: 1-13. doi: 10.3934/mine.2023093

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

Bin Deng ¹,
Xinan Ma ^{2
,
,}

1.
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei Province, China
2.
School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, Anhui Province, China

Received: 11 January 2023 Revised: 13 May 2023 Accepted: 01 June 2023 Published: 12 June 2023

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.
- fully nonlinear elliptic,
- higher-order curvature equations,
- gradient estimate,
- prescribed contact angle
Citation: Bin Deng, Xinan Ma. Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle[J]. Mathematics in Engineering, 2023, 5(6): 1-13. doi: 10.3934/mine.2023093

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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.

References

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