摘要
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）.
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）.
基金
partially supported by National College Students Innovation Training Project(48)
the fund from NSFC(11301204)
the phD specialized grant of the Ministry of Education of China(20110144110001)
