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. 
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     author = {S. B. Shulga},
     title = {Homogenization of {Nonlinear} {Variational} {Problems} by {Means} of {Two-Scale} {Convergence}},
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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/

[1] Zhikov V. V., “Svyaznost i usrednenie. Primery fraktalnoi provodimosti”, Mat. sb., 187:8 (1996), 3–40 | MR | Zbl

[2] Zhikov V. V., “Ob odnom rasshirenii i primenenii metoda dvukhmasshtabnoi skhodimosti”, Mat. sb., 191:7 (2000), 31–72 | MR | Zbl

[3] Allaire G., “Homogenization and two-scale convergence”, SIAM J. Math. Anal., 23 (1992), 1482–1518 | DOI | MR | Zbl