Multiplicity of solutions for a fractional Schrödinger-Poisson system without (PS) condition

In this paper, we study the following fractional Schrödinger-Poisson system $ \begin{equation*} \begin{cases} (-\Delta)^su+V(x)u+\phi u = f(x, u)& x\in\mathbb{R}^3, \\ (-\Delta)^s\phi = u^2& x\in\mathbb{R}^3. \end{cases} \end{equation*} $ Using the variant fountain theorem intr...

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Bibliographic Details
Main Author: Tiankun Jin
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021525?viewType=HTML