Homogenization of the conormal derivative problem for elliptic systems in Reifenberg domains
Sun‐Sig Byun, Yunsoo Jang · Communications in Contemporary Mathematics · 2016
We study homogenization of the conormal derivative problem for an elliptic system with discontinuous coefficients in a bounded domain. A uniform global [Formula: see text] estimate for [Formula: see text] is obtained under optimal assumptions that the coefficients have a small bounded mean oscillation (BMO) seminorm and the domain is a [Formula: see text]-Reifenberg flat domain whose boundary might be fractal.