Symmetry of positive solutions of fractional Laplacian equation and system with Hardy-Sobolev exponent on the unit ball

被引：2

作者：

Zhao, Junping ^{[1
]}

Dou, Jingbo ^{[2
]}

Zhou, Huaiyu ^{[2
]}

机构：

[1] Xian Univ Architecture & Technol, Coll Sci, Xian 710055, Shaanxi, Peoples R China

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

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2015年 / 6卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fractional Laplacian; Weighted Hardy-Littlewood-Sobolev inequality; Hardy-Sobolev exponent u Radial symmetry; Method of moving planes; LIOUVILLE-TYPE THEOREMS; INTEGRAL-EQUATIONS; SHARP CONSTANTS; CLASSIFICATION; NONEXISTENCE; INEQUALITIES; EXISTENCE;

D O I：

10.1007/s11868-015-0131-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider a class of Hardy-Sobolev differential equations and systems involving the fractional Laplacian on the unit ball. We first show the differential equations and systems are equivalent to some integral equations and systems, respectively. Then applying the method of moving planes in the integral forms, we prove the radial symmetry of positive solutions.

引用

页码：503 / 519

页数：17

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