On LpLp estimates in homogenization of elliptic equations of Maxwellʼs type

For a family of second-order elliptic systems of Maxwellʼs type with rapidly oscillating periodic coefficients in a C1,αC1,α domain Ω  , we establish uniform estimates of solutions uεuε and ∇×uε∇×uε in Lp(Ω)Lp(Ω) for 1