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.

引用

页码：378 / 412

页数：35

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