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Open Accesshttps://doi.org/10.1016/j.aim.2013.10.016
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Cite Journal: Advances in Mathematics |  Publication Date: Nov 14, 2013 |
 Citations: 13 |  License type: publisher-specific-oa |
Affiliation: University of Kentucky, Sun Yat-sen University
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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