Harnack inequality for a p-Laplacian equation with a source reaction term involving the product of the function and its gradient

被引：0
|
作者：
Chen, Bo [1 ]
Xie, Junhui [1 ]
机构：
[1] Hubei Minzu Univ, Sch Math & Stat, Enshi 445000, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 02期
基金：
中国国家自然科学基金;
关键词：
p; -Laplace; Harnack inequality; de Giorgi -Nash -Moser iteration; Moser's iteration; ELLIPTIC-EQUATIONS; LIOUVILLE; THEOREMS; PROOF;
D O I：
10.3934/era.2023059
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A p-Laplacian type problem with a source reaction term involving the product of the function and its gradient is considered in this paper. A Harnack inequality is proved, and the main idea is based on de Giorgi-Nash-Moser iteration and Moser's iteration technique. As a consequence, Ho center dot lder continuity and boundness for the solution of this problem also are obtained.
引用
收藏
页码：1157 / 1169
页数：13
相关论文
共 23 条
123