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.

引用

页码：445 / 459

页数：15

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