Segregated Vector Solutions for the Nonlinear Schrodinger Systems in R3

被引：0
|
作者：
Zheng, Lvzhou [1 ]
机构：
[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 03期
关键词：
Nonlinear Schrodinger system; contraction map; segregated solutions; LINEARLY COUPLED SYSTEMS; POSITIVE SOLUTIONS; GROUND-STATES; BOUND-STATES; PHASE-SEPARATION; EQUATIONS; SOLITONS; SPIKES;
D O I：
10.1007/s00009-017-0909-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the following nonlinear Schrodinger system in R-3 {-Delta u + P(|y|)u = mu(1)u(3) + beta p/p + q |v|(q)|u|(p-2) u, y is an element of R-3, -Delta v + Q(|y|)v = mu 2v(3) + beta q/p + q |u|(p)|v|(q-2)v, y epsilon R-3, where mu(1) > 0, mu(2) > 0, 2 <= p, q <= 5, p + q <= 6 and beta is an element of R is a coupling constant. We show that the nonlinear Schrodinger system has infinitely many non-radial positive segregated solutions.
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页数：21
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