Correctors for the homogenization of monotone operators
Gianni Dal Maso, Anneliese Defranceschi · Differential and Integral Equations · 1990
In the homogenization of quasi-linear equations of the form -div(a(~, DuE)) = J, where a(x,O is periodic in x and monotone in~' the solutions uE converge weakly in H 1 •P(f2) to the solution u of a limit problem which has been studied in [5].In this paper, we construct a family of correctors depending only on the function a(x, 0, which permit one to express DuE in terms of Du up to a rest which converges to 0 strongly in (.LP(O))n.