Symmetry results for systems involving fractional Laplacian

被引：6

作者：

Zheng, Xiongjun ^{[1
]}

Wang, Jian ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2014年 / 45卷 / 01期

关键词：

Fractional Laplacian; moving planes; system; radial symmetry; NONLINEAR ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; RADIAL SYMMETRY; MONOTONICITY;

D O I：

10.1007/s13226-014-0050-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate symmetry results for positive solutions of systems involving the fractional Laplacian {(-Delta)(alpha 1)u(1)(x) = f(1)(u(2)(x)), x is an element of R-N, (-Delta)(alpha 2)u(2)(x) = f(2)(u(1)(x)), x is an element of R-N, (1) lim(vertical bar x vertical bar ->infinity) u(1)(x) - lim(vertical bar x vertical bar ->infinity) u(2)(x) - 0 where N >= 2 and alpha(1), alpha(2) is an element of (0, 1). We prove symmetry properties by the method of moving planes.

引用

页码：39 / 51

页数：13

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