Uniform Regularity for Degenerate Elliptic Equations in Perforated Domains

Zhongwei Shen; Jinping Zhuge

doi:10.1007/s10114-025-3640-5

Uniform Regularity for Degenerate Elliptic Equations in Perforated Domains

Zhongwei Shen, Jinping Zhuge

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 W^1,p estimates.

Original language	English
Pages (from-to)	378-412
Number of pages	35
Journal	Acta Mathematica Sinica, English Series
Volume	41
Issue number	1
DOIs	https://doi.org/10.1007/s10114-025-3640-5
State	Published - Jan 2025

Bibliographical note

Publisher Copyright:
© Springer-Verlag GmbH Germany & The Editorial Office of AMS 2025.

Keywords

35B27
35J70
Homogenization
perforated domains
uniform regularity

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1007/s10114-025-3640-5

Cite this

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abstract = "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.",

keywords = "35B27, 35J70, Homogenization, perforated domains, uniform regularity",

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KW - 35J70

KW - Homogenization

KW - perforated domains

KW - uniform regularity

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Uniform Regularity for Degenerate Elliptic Equations in Perforated Domains

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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