Deterministic homogenization of nonlinear degenerate elliptic operators with nonstandard growth

被引:0
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作者
Hubert Nnang
机构
[1] University of Yaounde I,École Normale Supérieure de Yaoundé
关键词
Determinstic homogenization; degenerate operator; -algebras; Orlicz-Sobolev spaces; 35B40; 35J60; 35J70; 46J10; 46J25;
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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 Σ-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:33
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