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

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