Deterministic Homogenization of Nonlinear Degenerate Elliptic Operators with Nonstandard Growth

被引：0
|
作者：
Hubert NNANG [1 ]
机构：
[1] University of Yaounde I,Ecole Normale Suprieure de Yaound
来源：
ActaMathematicaSinica(EnglishSeries) | 2014年 / 30卷 / 09期
关键词：
Determinstic homogenization; degenerate operator; H-algebras; Orlicz–Sobolev spaces;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
We study the deterministic homogenization of nonlinear degenerate elliptic equations with nonstandard growth.One fundamental in this topic is to extend the classical compactness results of theΣ-convergence method to the Orlicz spaces.We also show that one can homogenize nonlinear Dirichlet problems in a general way by leaning on a simple abstract hypothesis contrary to what has been done in the determinstic homogenization theory.
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页码：1621 / 1654
页数：34
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