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math.AP2020★ 5 cited
Existence and concentration of solution for Schrödinger-Poisson system with local potential
Zhipeng Yang, Yuanyang Yu
In this paper, we study the following nonlinear Schrödinger-Poisson type equation \begin{equation*} \begin{cases} -\varepsilon^2Δu+V(x)u+K(x)ϕu=f(u)&\text{in}\ \mathbb{R}^3,\\ -\va…
math.AP2020
An infinite sequence of localized nodal solutions for Schrödinger-Poisson system with double potentials
Yuanyang Yu, Yanheng Ding
In this paper, we study the existence of localized sign-changing (or nodal) solutions for the following nonlinear Schrödinger-Poisson system \begin{equation*} \begin{cases} -\varep…