Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains

被引：14
|
作者：
CasadoDiaz, J
机构：
[1] Depto. Ecuaciones Diferenciales A., Universidad de Sevilla, Facultad de Matemáticas, 41012 Sevilla, C. Tarfía s/n
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1997年 / 76卷 / 05期
关键词：
D O I：
10.1016/S0021-7824(97)89958-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the perturbation of the Laplace operator by a general nonlinear term with quadratic growth in the gradient. We show that a new term, which does not depend on the gradient, but which is nonlinear, appears in the limit problem. We also give a corrector result.
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页码：431 / 476
页数：46
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