The National Natural Science Foundation of China(No.11171063);the Natural Science Foundation of Jiangsu Province(No.BK2010404)
The Schrodinger equation -△u+λ2u=|u|2q-2u has a unique positive radial solution Uλ, which decays exponentially at infinity. Hence it is reasonable that the Schrolinger system -△u1+u1=|u1|2q-1u1-εb(x)|u2...