一类曲率方程解的梯度估计

Gradient Estimation for a Class of Curvature Equations

通过微分的方法以及选取适当的辅助函数研究一类具有Neumann边值问题曲率方程的解,利用函数在极大值点的性质得到解的C^(0)估计、C^(1)估计以及u_(t)估计,进而得到此类方程解的存在性。

The solution of a class of curvature equations with Neumann boundary value problem is studied by the method of differentiation and the selection of appropriate auxiliary functions.The C^(0)estimation,C^(1)estimation and u_(t)estimation of the solution are obtained by using the property of the function at the maximum point,and the existence of the solution of this kind of equation is obtained.