Abstract

For a family of second-order elliptic systems of Maxwellʼs type with rapidly oscillating periodic coefficients in a C1,α domain Ω, we establish uniform estimates of solutions uε and ∇×uε in Lp(Ω) for 1<p⩽∞. The proof relies on the uniform W1,p and Lipschitz estimates for solutions of scalar elliptic equations with periodic coefficients.

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