对角型蜕化椭圆组解的处处Hlder连续性

Everywhere Holder Continuity of Solutions of degenerate elliptic systems in diagonal form

在G考虑一类对角型蜕化椭圆组，它的最高项系数矩阵的特征值正比例于未知解的模的正幂次。证明在和一致椭圆组同样的小性条件下方程组的有界连续解在G内的Holder连续性。

Consider on G a degenerate elliptic system in diagonal form of which the characteritic values of the leading coefficient matrix are propotional to a positive power of the modulus of the unknown solution. We prove the everywhere Holder continuity interior to G for bound and continuous solutions under the same smallness conditions as in the case of uniformly elliptic systems.