3 citations · 9 across the 10 of their papers we have counts for
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Qualitative analysis of energy ground states for magnetic focusing Gross-Pitaevskii equations
Xiaoming An, Lun Guo, Xiao Luo +1
We prove the uniqueness, asymptotics, symmetry, and orbital stability of energy ground states for 3D magnetic Gross-Pitaevskii equations under mild conditions on the electric poten…
Three wave interaction solitons for an energy critical Schrödinger system
Luigi Forcella, Xiao Luo, Xiaolong Yang
We investigate standing waves for the energy critical Schrödinger system with three waves interaction arising as a model for the Raman amplification in a plasma. Several results ar…
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,…
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…
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…
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…