Asymptotic analysis of periodically-perforated nonlinear media

被引：31

作者：

Ansini, N ^{[1
]}

Braides, A ^{[1
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2002年 / 81卷 / 05期

关键词：

perforated domains; relaxed Dirichlet problems; Nonlinear capacity; Gamma-limits;

D O I：

10.1016/S0021-7824(01)01226-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a direct proof of the nonlinear vector-valued variational version of the Cioranescu Murat result on the asymptotic behaviour of Dirichlet problems in perforated domains giving rise to extra terms. Our method is based on a lemma which allows to modify sequences of functions in the vicinity of the perforation, in the spirit of a method proposed by De Giorgi to match boundary conditions. We describe the extra term by a capacitary formula involving a quasiconvexification process. Nonexistence and nonpositive homogeneity phenomena are discussed. (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.

引用

页码：439 / 451

页数：13

共 20 条

[1] Separation of scales and almost-periodic effects in the asymptotic behaviour of perforated periodic media [J].