Geodesic
Asymptotics of solutions of nonlinear elliptic problems in perforated domains
Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 191-209

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

For a series of nonlinear Dirichlet problems in regions with a finely grained boundary, it is proved that the remainder term of an asymptotic expansion converges uniformly to zero. The proof is based on pointwise estimates of solutions of model nonlinear problems. 
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     author = {I. V. Skrypnik},
     title = {Asymptotics of solutions of nonlinear elliptic problems in perforated domains},
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I. V. Skrypnik. Asymptotics of solutions of nonlinear elliptic problems in perforated domains. Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 191-209. http://geodesic.mathdoc.fr/item/SM_1995_80_1_a9/