PROPERTIES OF POSITIVE SOLUTIONS FOR THE FRACTIONAL LAPLACIAN SYSTEMS WITH POSITIVE-NEGATIVE MIXED POWERS

被引：0
|
作者：
Lu, Zhongxue [1 ]
Niu, Mengjia [1 ]
Shen, Yuanyuan [1 ]
Yuan, Anjie [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 03期
关键词：
The fractional Laplacian; positive-negative mixed powers; method of moving planes; radial symmetry; monotonicity; MOVING PLANES; MAXIMUM-PRINCIPLES; RADIAL SYMMETRY; P-LAPLACIAN; NONEXISTENCE; MONOTONICITY;
D O I：
10.4134/JKMS.j230232
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by establishing the direct method of moving planes for the fractional Laplacian system with positive -negative mixed powers, we obtain the radial symmetry and monotonicity of the positive solutions for the fractional Laplacian systems with positive -negative mixed powers in the whole space. We also give two special cases.
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页码：445 / 459
页数：15
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