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平均曲率型方程的全局梯度估计
Global Gradient Estimate of the Mean Curvature Type Equation

DOI: 10.12677/PM.2021.116127, PP. 1130-1136

Keywords: 平均曲率型方程，梯度估计，极值原理
Mean Curvature Type Equation, Gradient Estimation, Extreme Principle

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Abstract:

本文通过选取合适的辅助函数，考虑三种情况并利用极值原理来证平均曲率型方程的全局梯度估计。
In this paper, by selecting the appropriate auxiliary function, three cases are considered and the extremum principle is used to prove the global gradient estimation of the mean curvature type equation.

References

[1]  Bombieri, E., De Giorgi, E. and Miranda, M. (1969) Una maggiorazone a priori relativa alleipersuperfici minimali non parabolic. Archive for Rational Mechanics and Analysis, 32, 255-267.
https://doi.org/10.1007/BF00281503
[2]  Ladyzhenskaya, O.A. and Ural’Tseva, N.N. (1970) Local Estimates for Solution of Non-Uniformly Elliptic and Parabolic Equations. Communications on Pure and Applied Mathematics, 23, 677-703.
https://doi.org/10.1002/cpa.3160230409
[3]  Gilbarg, D. and Trudinger, N.S. (2001) Elliptic Partial Differential Equation of Second Order. Springer-Verlag, Berlin.
https://doi.org/10.1007/978-3-642-61798-0
[4]  Wang, X.J. (1998) Interior Gradient Estimates for Mean Curvature. Mathematische Zeitschrift, 1, 73-81.
https://doi.org/10.1007/PL00004604
[5]  王聪涵. 平均曲率型方程的内部梯度估计和Liouville型结果[D]: [硕士学位论文]. 新乡: 河南师范大学, 2019.
[6]  奥列尼克. 偏微分方程讲义(第三版) [M]. 北京: 高等教育出版社, 2008: 124-135.

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