Radial symmetry results for fractional Laplacian systems

被引：53

作者：

Liu, Baiyu ^{[1
]}

Ma, Li ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, 30 Xueyuan Rd, Beijing 100083, Peoples R China

[2] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 146卷

基金：

中国国家自然科学基金;

关键词：

Fractional Laplacian system; Method of moving planes; Radial symmetry; SEMILINEAR ELLIPTIC-SYSTEMS; POROUS-MEDIUM TYPE; INTEGRAL-EQUATIONS; SCHRODINGER SYSTEMS; DIFFUSION-EQUATIONS; CRITICAL EXPONENTS; POSITIVE SOLUTIONS; DECAY SOLUTIONS; HALF-SPACES; WHOLE SPACE;

D O I：

10.1016/j.na.2016.08.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we generalize the direct method of moving planes for the fractional Laplacian to the system case. Considering a coupled nonlinear system with fractional Laplacian, we first establish a decay at infinity principle and a narrow region principle. Using these principles, we then obtain two radial symmetry results for the decaying solutions of the fractional Laplacian systems. Finally, we apply our method to fractional Schrodinger systems and fractional Henon systems. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：120 / 135

页数：16

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