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We prove an optimal W1,p 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… Click to show full abstract
We prove an optimal W1,p 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.
Keywords:
homogenization elliptic;
estimates homogenization;
measurable coefficients;
elliptic systems;
systems measurable
Journal Title: Mathematische Nachrichten
Year Published: 2017
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Journal Title: Mathematische Nachrichten
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!