most citedNormalized ground states for the fractional nonlinear Schrödinger equations

2 citations · 2 across the 2 of their papers we have counts for

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3 papers

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…

math.FA2018

Concentration Behavior of Nonlinear Hartree-type Equation with almost Mass Critical Exponent

Yuan Li, Dun Zhao, Qingxuan Wang

We study the following nonlinear Hartree-type equation \begin{equation*} -Δu+V(x)u-a(\frac{1}{|x|^γ}\ast |u|^2)u=λu,~\text{in}~\mathbb{R}^N, \end{equation*} where , ,…