AbstractWe study three elliptic problems depending on two small parameters(ϵ = homogenization parameter and δ = perturbation parameter which causes non uniform ellipticity). In each case, the homogenized operator corresponding to the second order operator is independent of the way (ϵ, δ) → (0, 0), but the convergence results and the limit solution do depend on the relative size of ϵ and δ; the relevant parameter
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