Uniform Regularity for Degenerate Elliptic Equations in Perforated Domains

被引：0
|
作者：
Zhongwei Shen [1 ]
Jinping Zhuge [2 ]
机构：
[1] Department of Mathematics, University of Kentucky
[2] Morningside Center of Mathematics, Academy of Mathematics and Systems Science,Chinese Academy of
来源：
Acta Mathematica Sinica,English Series | 2025年 / 01期
关键词：
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
摘要：
This paper is concerned with a class of degenerate elliptic equations with rapidly oscillating coefficients in periodically perforated domains, which arises in the study of spectrum problems for uniformly elliptic equations in perforated domains. We establish a quantitative convergence rate and obtain the uniform weighted Lipschitz and W1,p estimates.
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页码：378 / 412
页数：35
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