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math.AP2019
Boson Stars with Long-range Perturbations
Qingxuan Wang, Binhua Feng, Yuan Li
We consider the Boson star equation with long-range perturbation given by $$i\partial_t ψ=\sqrt{-\triangle+m^2}\,ψ+β(\frac{1}{|x|^α}\ast |ψ|^2)ψ-(\frac{1}{|x|}\ast |ψ|^2)ψ \ \ \tex…
math.AP2019★ 2 cited
Normalized ground states for the fractional nonlinear Schrödinger equations
Binhua Feng, Jiajia Ren, Qingxuan Wang
In this paper, we study the existence and instability of standing waves with a prescribed -norm for the fractional Schrödinger equation \begin{equation} i\partial_{t}ψ=(-Δ)^{s…