Homogenisation of Dirichlet problems for monotone operators in varying domains

被引：18
作者：
CasadoDiaz, J
机构：
[1] Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Fac. de Matemáticas, 41012 Sevilla, C. Tarfía s/n
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1997年 / 127卷
关键词：
D O I：
10.1017/S0308210500029875
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the asymptotic behaviour, for a sequence of varying open sets Omega(n) of the solutions u(n), of nonlinear Dirichlet problems for a monotone Leray-Lions operator. The method is based on the comparison between the gradient of u(n) and the corrector for the p-Laplacian corresponding to the same geometry as the monotone operator. The representation of the limit problem and a corrector result are obtained.
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页码：457 / 478
页数：22
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