论文标题
Lipschitz的连续性,用于椭圆形边界问题,与DINI平均振荡系数
Lipschitz Continuity for Elliptic Free Boundary Problems with Dini Mean Oscillation Coefficients
论文作者
论文摘要
我们建立了一类自由边界椭圆问题的溶液的局部内部Lipschitz连续性,假设DINI方程的系数至少沿一个方向旋转。这种规律性结果的新颖性在于,除一个变量外,它允许不连续的系数。
We establish local interior Lipschitz continuity of the solutions of a class of free boundary elliptic problems assuming the coefficients of the equation of Dini mean oscillation in at least one direction. The novelty in this regularity result lies in the fact that it allows discontinuous coefficients in all but one variable.