论文标题
重量重量的椭圆方程
Elliptic Equations With Degenerate weights
论文作者
论文摘要
我们获得了具有线性和非线性方程基质值重量的椭圆方程的新局部Calderon-Zygmund估计值。我们在重量M上引入了一种新型的对数BMO条件。特别是，我们假设BMO中基质值重量的对数的较小度。这允许包括退化的不连续权重。我们提供的示例表明了估计值的清晰度。
We obtain new local Calderon-Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as non-linear equations. We introduce a novel log-BMO condition on the weight M. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows to include degenerate, discontinuous weights. We provide examples that show the sharpness of the estimates in terms of the log-BMO-norm.
