退化椭园型方程弱解梯度的Hlder连续性

The Holder Continuity of Gradient of the Weak Solutions for Degenerate Elliqtic Equations

设ΩR^n(n≥2)是有界开集,考虑方程: 其中g(0)=0;当t>0时g(t)>0,在对g(t)作较弱的假设下,证明了上述退化方程弱解梯度的Hlder连续性,推广了文〔1〕的结果。

Let Ω Rn(n≥2) be a open domain, we consider elliptic equation: where 8(0)=0 and g(t)>0 as t>0. Under conditions of g(t), we prove the C1,α regularity of the weak solutions of the equation.