Abstract
In the rectangle Ωℓ = (−ℓ, ℓ) × (−1, 1), we consider the weak solution uℓ to the p-Laplace equation for a right hand side depending on x2 only. We show that, for any ℓ0 > 0, uℓ → u∞ in W 1,p(Ωℓ 0 ) when ℓ → ∞, where u∞ is the solution of the p-Laplace equation on the section.