18 citations · 18 across the 5 of their papers we have counts for
5 papers
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…
Uniqueness and non-uniqueness of least energy normalized solutions for nonlinear Schrödinger equations on compact metric graphs
Simone Dovetta, Lun Guo
We investigate uniqueness and non-uniqueness of least energy normalized and least energy nodal normalized solutions for nonlinear Schrödinger equations on compact metric graphs. We…
A coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent: existence and multiplicity of high energy positive solutions
Mengyao Chen, Lun Guo, Qi Li
This paper deals with a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponent \begin{equation*} \begin{cases} -Δu+(V_1(x)+λ_1)u=μ_1(|x|^{-4}*u^{2})u+β(|x|^{-4}*v^{…
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,…
Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well
Lun Guo, Tingxi Hu
In this paper, we are concerned with the existence and asymptotic behavior of least energy solutions for following nonlinear Choquard equation driven by fractional Laplacian $$(-Δ)…