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

共 50 条

[21] Holder regularity of solutions of degenerate elliptic and parabolic equations
Daskalopoulos, P
Lee, KA
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 201 (02) : 341 - 379
[22] Regularity properties of degenerate convolution-elliptic equations
Hummet K Musaev
Veli B Shakhmurov
Boundary Value Problems, 2016
[23] REGULARITY FOR DEGENERATE ELLIPTIC EQUATIONS UNDER MINIMAL ASSUMPTIONS
Borrello, Francesco
MATEMATICHE, 2005, 60 (02): : 397 - 402
[24] Regularity properties of degenerate convolution-elliptic equations
Musaev, Hummet K.
Shakhmurov, Veli B.
BOUNDARY VALUE PROBLEMS, 2016, : 1 - 19
[25] Regularity of weak solutions to certain degenerate elliptic equations
Cavalheiro, Albo Carlos
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2006, 47 (04): : 681 - 693
[26] Harnack inequality and regularity for degenerate quasilinear elliptic equations
G. Di Fazio
M. S. Fanciullo
P. Zamboni
Mathematische Zeitschrift, 2010, 264 : 679 - 695
[27] Regularity of the solutions of degenerate elliptic equations in divergent form
Amanov, R. A.
Mamedov, F. I.
MATHEMATICAL NOTES, 2008, 83 (1-2) : 3 - 13
[28] Regularity for solutions of nonlinear elliptic equations with degenerate coercivity
Benkirane A.
Youssfi A.
Ricerche di Matematica, 2007, 56 (2) : 241 - 275
[29] Besov regularity for a class of singular or degenerate elliptic equations
Ambrosio, Pasquale
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 505 (02)
[30] Regularity of the solutions of degenerate elliptic equations in divergent form
R. A. Amanov
F. I. Mamedov
Mathematical Notes, 2008, 83 : 3 - 13

← 1 2 3 4 5 →