Hai-Yan Chen

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math.AP2022

New type of solutions for the nonlinear Schrödinger-Newton system

Haixia Chen, Pingping Yang

The nonlinear Schrödinger-Newton system \begin{equation*} \begin{cases} Δu- V(|x|)u + Ψu=0, &~x\in\mathbb{R}^3,\\ ΔΨ+\frac12 u^2=0, &~x\in\mathbb{R}^3, \end{cases} \end{equation*}…

math.AP2022

Segregated solutions for a critical elliptic system with a small interspecies repulsive force

Haixia Chen, Maria Medina, Angela Pistoia

We consider the elliptic system $- Δ u_{i} = u_{i}^{3} + j \neq = i j = 1 \sum q + 1 β_{ij} u_{i} u_{j}^{2} in R^{4}, i = 1, \dots, q + 1.$ when $α := β_{ij}$ and $β:=β_{i(q+1…