Sbornik. Mathematics, Tome 80 (1995) no. 1, pp. 191-209
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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/
@article{SM_1995_80_1_a9,
author = {I. V. Skrypnik},
title = {Asymptotics of solutions of nonlinear elliptic problems in perforated domains},
journal = {Sbornik. Mathematics},
pages = {191--209},
year = {1995},
volume = {80},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_80_1_a9/}
}
TY - JOUR
AU - I. V. Skrypnik
TI - Asymptotics of solutions of nonlinear elliptic problems in perforated domains
JO - Sbornik. Mathematics
PY - 1995
SP - 191
EP - 209
VL - 80
IS - 1
UR - http://geodesic.mathdoc.fr/item/SM_1995_80_1_a9/
LA - en
ID - SM_1995_80_1_a9
ER -
%0 Journal Article
%A I. V. Skrypnik
%T Asymptotics of solutions of nonlinear elliptic problems in perforated domains
%J Sbornik. Mathematics
%D 1995
%P 191-209
%V 80
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1995_80_1_a9/
%G en
%F SM_1995_80_1_a9
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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