Geodesic
On the homogenization of semilinear elliptic operators in
Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 409-422

Voir la notice de l'article provenant de la source Math-Net.Ru

A second-order semilinear elliptic equation whose lower term has power-like growth at infinity with respect to the unknown function is considered. It is proved that a sequence of its solutions in perforated domains converges to a solution in the non-perforated domain as the diameters of the holes converge to zero with a rate depending on the power exponent of the lower term. 
@article{SM_2002_193_3_a6,
     author = {H. Matevossian and S. V. Pikulin},
     title = {On the homogenization of semilinear elliptic operators in},
     journal = {Sbornik. Mathematics},
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     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_3_a6/}
}
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H. Matevossian; S. V. Pikulin. On the homogenization of semilinear elliptic operators in. Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 409-422. http://geodesic.mathdoc.fr/item/SM_2002_193_3_a6/