Reiterated homogenizationReiterated homogenization is beyond the common setting of Chaps. 5 – 7 , and an appropriate adaptation of the \(\varSigma \) -convergenceConvergence, - method is therefore required. Thus, the present topic needs to be discussed apart. Our approach is carried out on a Dirichlet boundary value problemBoundary value problem for a quasilinear elliptic operatorElliptic operatorquasilinearElliptic operator.