Symmetry of solutions for a fractional system

被引：18

作者：

Li, Yan ^{[1
]}

Ma, Pei ^{[1
,2
]}

机构：

[1] Yeshiva Univ, Dept Math Sci, New York, NY 10033 USA

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 10期

基金：

中国国家自然科学基金;

关键词：

the fractional Laplacian; narrow region principle; decay at infinity; method of moving planes; radial symmetry; LIOUVILLE-TYPE THEOREMS; NONLINEAR ELLIPTIC-EQUATIONS; INTEGRAL-EQUATIONS; HALF-SPACE; CLASSIFICATION; LAPLACIAN;

D O I：

10.1007/s11425-016-0231-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a pseudo-differential system involving different fractional orders. Through an iteration method, we obtain the key ingredients-the maximum principles-of the method of moving planes. Then we derive symmetry on non-negative solutions without any decay assumption at infinity.

引用

页码：1805 / 1824

页数：20

共 50 条

[1] Symmetry of solutions for a fractional system
LI Yan
MA Pei
Science China(Mathematics), 2017, 60 (10) : 1805 - 1824
[2] Symmetry of solutions for a fractional system
Yan Li
Pei Ma
Science China Mathematics, 2017, 60 : 1805 - 1824
[3] 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
[4] SYMMETRY OF SOLUTIONS TO SEMILINEAR EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
Zhang, Lizhi
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (06) : 2393 - 2409
[5] Symmetry of positive solutions of fractional Laplacian equation and system with Hardy-Sobolev exponent on the unit ball
Zhao, Junping
Dou, Jingbo
Zhou, Huaiyu
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2015, 6 (04) : 503 - 519
[6] SYMMETRY AND NON-EXISTENCE OF SOLUTIONS FOR A NONLINEAR SYSTEM INVOLVING THE FRACTIONAL LAPLACIAN
Zhuo, Ran
Chen, Wenxiong
Cui, Xuewei
Yuan, Zixia
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (02) : 1125 - 1141
[7] Radial symmetry of positive solutions for a tempered fractional p-Laplacian system
Chen, Xueying
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (06) : 3352 - 3373
[8] 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
[9] Symmetry and Regularity of Solutions to the Weighted Hardy-Sobolev Type System
Chen, Lu
Liu, Zhao
Lu, Guozhen
ADVANCED NONLINEAR STUDIES, 2016, 16 (01) : 1 - 13
[10] SYMMETRY OF POSITIVE SOLUTIONS FOR SYSTEMS OF FRACTIONAL HARTREE EQUATIONS
Deng, Yan
Zhao, Junfang
Chu, Baozeng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (09): : 3085 - 3096

← 1 2 3 4 5 →