Global Estimates for Quasilinear Elliptic Equations on Reifenberg Flat Domains

被引：128

作者：

Mengesha, Tadele ^{[1
]}

Nguyen Cong Phuc ^{[1
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2012年 / 203卷 / 01期

基金：

美国国家科学基金会;

关键词：

LITTLEWOOD MAXIMAL-FUNCTION; WEIGHTED NORM INEQUALITIES; BMO COEFFICIENTS; GRADIENT; REGULARITY; MAPPINGS;

D O I：

10.1007/s00205-011-0446-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New global regularity estimates are obtained for solutions to a class of quasilinear elliptic boundary value problems. The coefficients are assumed to have small BMO seminorms, and the boundary of the domain is sufficiently flat in the sense of Reifenberg. The main regularity estimates obtained are in weighted Lorentz spaces. Other regularity results in Lorentz-Morrey, Morrey, and Holder spaces are shown to follow from the main estimates.

引用

页码：189 / 216

页数：28

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