Existence of axially symmetric solutions for a kind of planar Schrödinger-Poisson system

In this paper, we study the following kind of Schrödinger-Poisson system in $ { \mathbb{R}}^{2} $ $ \begin{equation*} \left\{\begin{array}{ll} -\Delta u+V(x)u+\phi u = K(x)f(u), \ \ \ x\in{ \mathbb{R}}^{2}, \\ \Delta \phi = u^{2}, \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \...

Full description

Bibliographic Details
Main Authors: Qiongfen Zhang, Kai Chen, Shuqin Liu, Jinmei Fan
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021455?viewType=HTML