Multiple positive solutions for a Schrödinger–Poisson system with critical and supercritical growths

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In this paper, we are concerned with the following Schrödinger–Poisson system$$\begin{cases}-\Delta u+u+\lambda\phi u= Q(x)|u|^{4}u+\mu\dfrac{|x|^\beta}{1+|x|^\beta}|u|^{q-2}u&in \mathbb{R}^3, -\Delta \phi=u^{2} &in \mathbb{R}^3, \end{cases}$$where $0< \beta<3$,  $60$ are real parameters. By the variationalmethod and the Nehari method, we obtain that the system has $k$ positivesolutions.

Sobre autores

Jun Lei

Guizhou University

Email: gzmysxx88@sina.com

PhD, no status

Hongmin Suo

Guizhou Minzu University

Autor responsável pela correspondência
Email: gzmysxx88@sina.com

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Declaração de direitos autorais © Рэ Ч., Suo H., 2023

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