对角形退缩椭圆型方程组弱解的局部正则性

Local Regularity of Weak Solutions for Degenerate Elliptic Systems with Diagonal Form

本文得到对角形退缩椭圆型议程组弱解的某些积分估计,证明了弱解的局部Holder连续性,并把此结果推广至一类非对角形的情形.

The authors obtained integral estimates of weak solutions for the degenerate linear elliptic systems with diagonal form and proved that the weak solutions are local Holder continuous in Ω. This result is also extended to some nonlinear cases.