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math.AP2014★ 2 cited
On a two-component Bose-Einstein condensate with steep potential wells
Yuanze Wu, Tsung-fang Wu, Wenming Zou
In this paper, we study the following two-component systems of nonlinear Schrödinger equations \begin{equation*} \left\{\aligned&Δu-(λa(x)+a_0(x))u+μ_1u^3+βv^2u=0\quad&\text{in }\b…
math.AP2014★ 2 cited
On the Schrödinger-Poisson system with steep potential well and indefinite potential
Juntao Sun, Tsung-fang Wu, Yuanze Wu
In this paper, we study the following Schrödinger-Poisson system: $$ \left\{\aligned&-Δu+V_λ(x)u+K(x)ϕu=f(x,u)&\quad\text{in }\bbr^3,\\ &-Δϕ=K(x)u^2&\quad\text{in }\bbr^3,\\ &(u,ϕ)…