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

共 50 条

[31] SYMMETRY AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL SYSTEMS
Ma, Pei
Li, Yan
Zhang, Jihui
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (03) : 1053 - 1070
[32] Monotonicity and symmetry of positive solutions to fractional p-Laplacian equation
Dai, Wei
Liu, Zhao
Wang, Pengyan
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2022, 24 (06)
[33] Positive solutions to semilinear elliptic equations involving a weighted fractional Lapalacian
Tang, De
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (07) : 2596 - 2609
[34] Existence of positive solutions for systems of nonlinear fractional differential equation with p-Laplacian
Rao, S. Nageswara
Alesemi, Meshari
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (05)
[35] Solvability of positive solutions for a systems of nonlinear fractional order BVPs with p-Laplacian
Rao, Sabbavarapu Nageswara
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2019, 10 (02) : 141 - 153
[36] Symmetry of positive solutions of fractional Laplacian equation and system with Hardy–Sobolev exponent on the unit ball
Junping Zhao
Jingbo Dou
Huaiyu Zhou
Journal of Pseudo-Differential Operators and Applications, 2015, 6 : 503 - 519
[37] Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
Li, Yunhong
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[38] Symmetry of Positive Solutions for Fully Nonlinear Nonlocal Systems
Luo, Linfeng
Zhang, Zhengce
FRONTIERS OF MATHEMATICS, 2024, 19 (02): : 225 - 249
[39] NONEXISTENCE AND SYMMETRY OF SOLUTIONS FOR SCHRODINGER SYSTEMS INVOLVING FRACTIONAL LAPLACIAN
Zhuo, Ran
Li, Yan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (03) : 1595 - 1611
[40] Positive Solutions to Nonlinear Systems Involving Fully Nonlinear Fractional Operators
Pengcheng Niu
Wu Leyun
Xiaoxue Ji
Fractional Calculus and Applied Analysis, 2018, 21 : 552 - 574

← 1 2 3 4 5 →