Radial symmetry and uniqueness for positive solutions of a Schrodinger type system

被引：27
|
作者：
Ma, Li [1 ]
Chen, Dezhong [2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Elliptic system; Radial symmetry; Monotonicity; Uniqueness; HARDY-LITTLEWOOD-SOBOLEV; INTEGRAL-EQUATIONS; CLASSIFICATION;
D O I：
10.1016/j.mcm.2008.06.010
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we consider positive solutions of an integral system arising from higher order semilinear Schrodinger type systems in R-n. We are able to establish the radial symmetry and monotonicity theorem for those positive solutions by means of the new moving-plane method proposed by Chen-Li-Ou [W. Chen, C. Li, B. Ou, Classification of solutions for an integral equation, Commun. Pure Appl. Math. 59 (3) (2006) 330-343] coupled with a Sobolev imbedding theorem involving Bessel potentials. We also obtain the uniqueness theorem for some radial symmetric solutions. (C) 2008 Elsevier Ltd. All rights reserved.
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页码：379 / 385
页数：7
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