POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM

doi:10.1016/S0252-9602(18)30794-X

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (3): 935-949.doi: 10.1016/S0252-9602(18)30794-X

POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM

王朋燕, 王永忠

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China

收稿日期:2017-05-22 出版日期:2018-06-25 发布日期:2018-06-25
通讯作者: Yongzhong WANG E-mail:wangyz@nwpu.edu.cn
作者简介:Pengyan WANG,E-mail:wangpy119@126.com
基金资助:
Supported by National Natural Science Foundation of China (11771354).

POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM

Pengyan WANG, Yongzhong WANG

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China

Received:2017-05-22 Online:2018-06-25 Published:2018-06-25
Contact: Yongzhong WANG E-mail:wangyz@nwpu.edu.cn
Supported by:
Supported by National Natural Science Foundation of China (11771354).

摘要/Abstract

摘要：

In this article, we study positive solutions to the system

To reach our aim, by using the method of moving planes, we prove a narrow region principle and a decay at infinity by the iteration method. On the basis of these results, we conclude radial symmetry and monotonicity of positive solutions for the problems involving the weighted fractional system on an unit ball and the whole space. Furthermore, non-existence of nonnegative solutions on a half space is given.

关键词: Weighted fractional system, positive solution, radial symmetry, monotonicity, non-existence

Abstract:

Key words: Weighted fractional system, positive solution, radial symmetry, monotonicity, non-existence

王朋燕, 王永忠. POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM[J]. 数学物理学报(英文版), 2018, 38(3): 935-949.

Pengyan WANG, Yongzhong WANG. POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM[J]. Acta mathematica scientia,Series B, 2018, 38(3): 935-949.

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POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM

POSITIVE SOLUTIONS FOR A WEIGHTED FRACTIONAL SYSTEM

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