On the homogenization of some nonlinear variational problems
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 549-563
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},
year = {2000},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a12/}
}
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/