Geodesic
On the~homogenization of some nonlinear variational problems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 549-563

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Variational boundary value problems, in particular, the variational problems in perforated domains and the variational problems with degenerate integrands, are studied. The homogenization theorem is proved without using the technique of extension of solutions in Sobolev spaces. We use another approach, proposed by V. V. Zhikov. 
@article{FPM_2000_6_2_a12,
     author = {M. E. Rychago},
     title = {On the~homogenization of some nonlinear variational problems},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {549--563},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a12/}
}
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M. E. Rychago. On the~homogenization of some nonlinear variational problems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 549-563. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a12/