Deterministic Homogenization of Nonlinear Degenerate Elliptic Operators with Nonstandard Growth

作     者：Hubert NNANG 

作者机构：University of Yaounde IEcole Normale Suprieure de Yaound 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第9期

页      面：1621-1654页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Determinstic homogenization degenerate operator H-algebras Orlicz-Sobolev spaces 

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 the E-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.