This article is cited in 4 papers

Homogenization of Nonlinear Variational Problems by Means of Two-Scale Convergence

S. B. Shulga

Vladimir State Pedagogical University

Abstract: The theory of two-scale convergence developed in the works of G. Nguetseng, G. Allaire, and V.V. Zhikov is applied to the homogenization of variational problems formulated in terms of measures. A variational problem that describes a nonlinear medium with double porosity is also analyzed.

UDC: 512.54

Received in February 2001

 English version: Proceedings of the Steklov Institute of Mathematics, 2002, 236, 357–364

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