Geodesic
Homogenization of Nonlinear Variational Problems by Means of Two-Scale Convergence
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 371-377

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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. 
@article{TM_2002_236_a38,
     author = {S. B. Shulga},
     title = {Homogenization of {Nonlinear} {Variational} {Problems} by {Means} of {Two-Scale} {Convergence}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {371--377},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a38/}
}
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S. B. Shulga. Homogenization of Nonlinear Variational Problems by Means of Two-Scale Convergence. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 371-377. http://geodesic.mathdoc.fr/item/TM_2002_236_a38/