Weighted gradient estimates for the class of very singular p-Laplace system

被引：2
|
作者：
Tan Duc Do [1 ]
Nguyen Ngoc Trong [1 ]
Le Xuan Truong [1 ]
机构：
[1] Univ Econ Ho Chi Minh City, Ho Chi Minh City, Vietnam
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 271卷
关键词：
Nonlinear elliptic systems; Gradient regularity;
D O I：
10.1016/j.jde.2020.08.039
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let n is an element of{2, 3, 4, ...}, N is an element of{1, 2, 3, ...} and p is an element of(1, 2 - 1/n). Let beta is an element of(1, infinity) be such that np/n - p < beta' < n/n(2 - p) - 1 and f is an element of L-beta(R-n, R-N). Consider the p-Laplace system -Delta(p)u = - div (vertical bar Du vertical bar(p-2) Du) = f in R-n. We obtain a weighted gradient estimate for weak solutions of this system. (C) 2020 Elsevier Inc.All rights reserved.
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页码：301 / 331
页数：31
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