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Elliptic Equations with Degenerate Weights

Elliptic Equations with Degenerate Weights

We obtain new local Calderón--Zygmund estimates for elliptic equations with matrix-valued weights for linear as well as nonlinear equations. We introduce a novel log-BMO condition on the weight $\mathbb M$. In particular, we assume smallness of the logarithm of the matrix-valued weight in BMO. This allows us to include degenerate, …