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.
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页码：1805 / 1824
页数：20
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