ASYMPTOTICS OP SOLUTIONS OF NONLINEAR ELLIPTIC PROBLEMS IN PERFORATEDDOMAINS

Authors
Citation
Iv. Skrypnik, ASYMPTOTICS OP SOLUTIONS OF NONLINEAR ELLIPTIC PROBLEMS IN PERFORATEDDOMAINS, Sbornik. Mathematics, 80(1), 1995, pp. 191-209
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
10645616
Volume
80
Issue
1
Year of publication
1995
Pages
191 - 209
Database
ISI
SICI code
1064-5616(1995)80:1<191:AOSONE>2.0.ZU;2-X
Abstract
For a series of nonlinear Dirichlet problems in regions with a finely grained boundary, it is proved that the remainder term of an asymptoti c expansion converges uniformly to zero. The proof is based on pointwi se estimates of solutions of model nonlinear problems.