Symmetry and non-existence of positive solutions for fractional p-Laplacian systems

被引：31
作者：
Chen, Yonggang [1 ]
Liu, Baiyu [1 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, 30 Xueynan Rd, Beijing 100083, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 183卷
基金：
中国国家自然科学基金;
关键词：
Fractional p-Laplacian system; Method of moving planes; Decay solution; Radial symmetry; Non-existence; CLASSIFICATION; REGULARITY;
D O I：
10.1016/j.na.2019.02.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Chen and Li (2018) developed maximum principles for the fractional p-Laplacian, which carry out the direct method of moving planes to the fractional p-Laplacian equation. In this paper, we generalize their method to the system case and obtain a symmetry result for the fractional p-Laplacian system on the whole space. We also consider the system on the upper half space and obtain a non-existence result. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：303 / 322
页数：20
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