一类平均曲率方程的内部梯度估计

Internal Gradient Estimation for a Class of Mean Curvature Equations

本文研究了一类平均曲率方程,通过选取适当的辅助函数G,然后运用极值原理和对极值点性质的讨论,得到了此类平均曲率方程的内部梯度估计,完善了此类方程的内部梯度估计。

In this paper, we study a class of mean curvature equations. By selecting an appropriate auxiliary function G, and then using the extreme value principle and the discussion of the properties of ex-treme points, we obtain the internal gradient estimation of such mean curvature equations, and improve the internal gradient estimation of such equations.