Reiterated homogenization of degenerate nonlinear elliptic equations

被引：0
|
作者：
Byström, J [1 ]
Engström, J [1 ]
Wall, P [1 ]
机构：
[1] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2002年 / 23卷 / 03期
关键词：
homogenization; reiterated; monotone; degenerated;
D O I：
10.1142/S0252959902000304
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors study homogenization of some nonlinear partial differential equations of the form -div (a (hx, h(2)x, Du(h))) = f, where a is periodic in the first two arguments and monotone in the third. In particular the case where a satisfies degenerated structure conditions is studied. It is proved that u(h) converges weakly in W-0(1,1) (Omega) to the unique solution of a limit problem as h --> infinity. Moreover, explicit expressions for the limit problem are obtained.
引用
收藏
页码：325 / 334
页数：10
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