Global weighted estimates for quasilinear elliptic equations with non-standard growth

被引：33

作者：

Zhang, Chao ^{[1
]}

Zhou, Shulin ^{[2
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2014年 / 267卷 / 02期

基金：

高等学校博士学科点专项科研基金; 中国博士后科学基金;

关键词：

Elliptic; p(x)-Laplacian; A(p) weight; Gradient estimate; BMO space; Reifenberg flat domain; VARIABLE EXPONENT; BMO COEFFICIENTS; GRADIENT; SPACES; INTEGRABILITY; REGULARITY;

D O I：

10.1016/j.jfa.2014.03.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain a new global gradient estimates in weighted Lorentz spaces for weak solutions of p(x)-Laplacian type equation with small BMO coefficients in a delta-Reifenberg flat domain. The modified Vitali covering lemma, the maximal function technique and the appropriate localization method are the main analytical tools. Our results improve the known results for such equations. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：605 / 642

页数：38

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