Elliptic Equations With Degenerate weights
Analysis of PDEs
2020-03-24 v1
Abstract
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.
Cite
@article{arxiv.2003.10380,
title = {Elliptic Equations With Degenerate weights},
author = {Anna Kh. Balci and Lars Diening and Raffaella Giova and Antonia Passarelli di Napoli},
journal= {arXiv preprint arXiv:2003.10380},
year = {2020}
}