SEGREGATED VECTOR SOLUTIONS FOR NONLINEAR SCHRODINGER SYSTEMS IN R^2

We study the following nonlinear Schrodinger system {-△u＋P（｜x｜）u=μu^3＋βv^2u,x∈R^2, -△v＋Q（｜x｜）v=υv^3＋βu^2v,x∈R^2, where P（r） and Q（r） are positive radial functions, μ〉 0, υ 〉 0, and 3 E R is a coupling constant. This type of system arises, particularly, in models in Bose-Einstein condensates theory....

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Published in数学物理学报：B辑英文版 no. 2; pp. 383 - 398
Main Author 王春花 谢定一 占丽萍 张李攀 赵良珮
Format Journal Article
LanguageEnglish
Published 2015
Subjects
Delta
径向函数
爱因斯坦凝聚
系统
耦合常数
薛定谔
解向量
非线性
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ISSN0252-9602
1572-9087

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Summary:We study the following nonlinear Schrodinger system {-△u＋P（｜x｜）u=μu^3＋βv^2u,x∈R^2, -△v＋Q（｜x｜）v=υv^3＋βu^2v,x∈R^2, where P（r） and Q（r） are positive radial functions, μ〉 0, υ 〉 0, and 3 E R is a coupling constant. This type of system arises, particularly, in models in Bose-Einstein condensates theory. Applying a finite reduction method, we construct an unbounded sequence of nonradial positive vector solutions of segregated type when β is in some suitable interval, which gives an answer to an interesting problem raised by Peng and Wang in Remark 4.1 （Arch. Ration. Mech. Anal., 208（2013）, 305-339）.
Bibliography:Segregated vector solutions; nonlinear SchrSdinger systems
Chunhua WANG, Dingyi XIE , Liping ZHAN, Lipan ZHANG , Liangpei ZHAO （School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China）
42-1227/O
We study the following nonlinear Schrodinger system {-△u＋P（｜x｜）u=μu^3＋βv^2u,x∈R^2, -△v＋Q（｜x｜）v=υv^3＋βu^2v,x∈R^2, where P（r） and Q（r） are positive radial functions, μ〉 0, υ 〉 0, and 3 E R is a coupling constant. This type of system arises, particularly, in models in Bose-Einstein condensates theory. Applying a finite reduction method, we construct an unbounded sequence of nonradial positive vector solutions of segregated type when β is in some suitable interval, which gives an answer to an interesting problem raised by Peng and Wang in Remark 4.1 （Arch. Ration. Mech. Anal., 208（2013）, 305-339）.
ISSN:0252-9602
1572-9087