对角型椭圆组解的Holder连续性

Hlder Continuity of Solutions of Elliptic Systems in Diagonal Form

考虑一类对角型椭圆组，它的非线性项关于未知解的梯度为二次增长．在适当的“小性条件”下，对有界解证明它的模在区域内部连续．

Consider an elliptic system in diagonal form of which the nonlinear terms are of quadratical growth respect to the gradient of the unknown solution. It is proved that the modulus of bounded solution of the above systemis continuous in G under a suitable smallness condition. Combining this result with a result due to Wiegner the interior Hder continuity is deduced again to bounded solutions.