LIOUVILLE THEOREMS FOR FRACTIONAL HENON EQUATION AND SYSTEM ON Rn

被引：26

作者：

Dou, Jingbo ^{[1
]}

Zhou, Huaiyu ^{[1
]}

机构：

[1] Xian Univ Finance & Econ, Sch Stat, Xian 710100, Shaanxi, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2015年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Weighted Hardy-Littlewood-Sobolev inequality; Henon equation; Liouville type theorem; method of moving planes; HARDY-LITTLEWOOD-SOBOLEV; POSITIVE SOLUTIONS; INTEGRAL-EQUATIONS; CLASSIFICATION;

D O I：

10.3934/cpaa.2015.14.1915

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some Liouville type theorems for positive solutions of fractional Henon equation and system in R-n. First, under some regularity conditions, we show that the above equation and system are equivalent to the some integral equation and system, respectively. Then, we prove Liouville type theorems via the method of moving planes in integral forms.

引用

页码：1915 / 1927

页数：13

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