一类散度形式椭圆型方程弱下解的局部性质

One local character of sub-solutions of partial differential equations of divergence form

DeGiorgi迭代方法是处理椭圆型偏微分方程弱解性质的一种重要方法。运用DeGiorgi的迭代技巧,讨论了一类散度形式椭圆型偏微分方程弱下解的局部性质。

The De Giorgi iteration method is an importance method with which to deal with characters of subsolutions of elliptic partial differential equations of divergence form. Local estimates of subsolutions of common elliptic partial differential equations of divergence form are studied based on De Giorgi iteration techniques.