W1,p estimates in homogenization of elliptic systems with measurable coefficients
Sun‐Sig Byun, Yunsoo Jang · Mathematische Nachrichten · 2016
We prove an optimal theorem for a weak solution of an elliptic system in divergence form with measurable coefficients in a homogenization problem. Our theorem is sharp with respect to the assumption on the coefficients. Indeed, we allow the very rapidly oscillating coefficients to be merely measurable in one variable.