Introduction1On the Control of Coefficients in Partial Differential Equations12Estimations of Homogenized Coefficients93H-Convergence214A Strange Term Coming from Nowhere455Design of Composite Plates of Extremal Rigidity956Calculus of Variations and Homogenization1397Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements175AppendixLocal distribution of a MHD Channel in the case of optimal distribution of the resistivity of the working medium2598Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density273