Existence and concentration of solutions for nonautomous Schrödinger–Poisson systems with critical growth

In this paper, we study the following Schrödinger–Poisson system \begin{equation*} \begin{cases} -\Delta u+u+\mu \phi u=\lambda f(x,u)+u^5\quad & \mbox{in }\mathbb{R}^3,\\ -\Delta \phi=\mu u^2\quad & \mbox{in }\mathbb{R}^3, \end{cases} \end{equation*} where $\mu$, $\lambda>0$ are paramete...

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Bibliographic Details
Main Author: Yiwei Ye
Format: Article
Language:English
Published: University of Szeged 2017-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5927