Anna Kh. Balci, Lars Diening, Raffaella Giova, Antonia Passarelli di Napoli
Published 2020-03-23Version 1
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.
Nonlocal equations with degenerate weights
Geometric regularity for elliptic equations in double-divergence form
Quantitative uniqueness for elliptic equations at the boundary of $C^{1, Dini}$ domains
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