@article{
author = {},
title = {Global gradient estimates in directional homogenization},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {27643-27658},
url = {https://www.sciopen.com/article/10.3934/math.20231414},
doi = {10.3934/math.20231414},
abstract = {In this research, we investigate a higher regularity result in periodic directional homogenization for divergence-form elliptic systems with discontinuous coefficients in a bounded nonsmooth domain. The coefficients are assumed to have small bounded mean oscillation (BMO) seminorms and the domain has the    δ-Reifenberg property. Under these assumptions we derive global uniform Calderón-Zygmund estimates by proving that the gradient of the weak solution is as integrable as the given nonhomogeneous term.}
}