Premium
W 1 , p estimates in homogenization of elliptic systems with measurable coefficients
Author(s) -
Byun SunSig,
Jang Yunsoo
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600055
Subject(s) - mathematics , homogenization (climate) , mathematical analysis , biodiversity , ecology , biology
We prove an optimal W 1 , ptheorem 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.