Multiple positive solutions for a Schrödinger–Poisson system with critical and supercritical growths
- Авторы: Lei J.1, Suo H.2
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Учреждения:
- Guizhou University
- Guizhou Minzu University
- Выпуск: Том 87, № 1 (2023)
- Страницы: 33-48
- Раздел: Статьи
- URL: https://journals.rcsi.science/1607-0046/article/view/142248
- DOI: https://doi.org/10.4213/im9244
- ID: 142248
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Аннотация
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 variational method and the Nehari method, we obtain that the system has $k$ positive solutions.Bibliography: 31 titles.
Об авторах
Jun Lei
Guizhou University
Email: gzmysxx88@sina.com
PhD, без звания
Hongmin Suo
Guizhou Minzu University
Автор, ответственный за переписку.
Email: gzmysxx88@sina.com
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