Abstract
We study Calderón‐Zygmund estimates for the weak solution to divergence‐form higher order elliptic equations. We assume that the domain is composed of disjoint subdomains of ‐Reifenberg flat condition and the coefficients are merely measurable in one variable and have small bounded mean oscillation (BMO) in the other variables. Based on our new understanding for the relation between these assumptions and composite material, we establish estimates for ‐th order elliptic equations.
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