二阶完全非线性椭圆方程古典解先验估计的注记

A Remark on Some Estimates for Classical Solutions of Fully Non-linear Second Order Elliptic Equations

本文改进前文二阶完全非线性椭椭圆型方程古典解的一些先验估计的结果。该文中所有结论在条件Fs去除后仍成立。 [1]中讨论了如下问题 F(D^2u,Du,u,x)=0 在Ω;u=0在Ω(1)其中Ω为R^(n^2)中的有界区域。本文改进[1]的引理2.1。

The results of the authors previous paper on fully nonlinear second order elliptic equations have been improved. The condition Fs has been eliminated and tie results remain true.