activity
20182022
most citedPositive normalized solutions to nonlinear elliptic systems in with critical Sobolev exponent

3 citations · 9 across the 8 of their papers we have counts for

collaborators

14 papers

math.AP2022

Standing waves for two-component elliptic system with critical growth in : the attractive case

Lun Guo, Qi Li, Xiao Luo +1

In this paper, we consider the following two-component elliptic system with critical growth \begin{equation*} \begin{cases} -Δu+(V_1(x)+λ)u=μ_1u^{3}+βuv^{2}, \ \ x\in \mathbb{R}^4,…

math.AP2021

Normalized solutions for Schrödinger system with quadratic and cubic interactions

Xiao Luo, Juncheng Wei, Xiaolong Yang +1

In this paper, we give a complete study on the existence and non-existence of normalized solutions for Schrödinger system with quadratic and cubic interactions. In the one dimensio…

math.AP20213 cited

Positive normalized solutions to nonlinear elliptic systems in with critical Sobolev exponent

Xiao Luo, Xiaolong Yang, Wenming Zou

In this paper, we consider the existence and asymptotic behavior on mass of the positive solutions to the following system: \begin{equation}\label{eqA0.1}\nonumber \begin{cases} -Δ…

math.AP20212 cited

Normalized solutions to a class of Kirchhoff equations with Sobolev critical exponent

Gongbao Li, Xiao Luo, Tao Yang

In this paper, we consider the existence and asymptotic properties of solutions to the following Kirchhoff equation \begin{equation}\label{1}\nonumber - \Bigl(a+b\int_{\R^3} {{{\le…

math.AP20212 cited

Multiplicity and asymptotics of standing waves for the energy critical half-wave

Xiao Luo, Tao Yang, Xiaolong Yang

In this paper, we consider the multiplicity and asymptotics of standing waves with prescribed mass to the energy critical half-wave \begin{equat…

math.AP20201 cited

Ground states for 3D dipolar Bose-Einstein condensate involving quantum fluctuations and three-body losses

Xiao Luo, Tao Yang

We consider ground states of three-dimensional dipolar Bose-Einstein condensate involving quantum fluctuations and three-body losses, which can be described equivalently by positiv…