@Article{JPDE-36-68,
author = {Chen , Qingfang and Liao , Jiafeng},
title = {Positive Ground State Solutions for Schrödinger-Poisson System with General Nonlinearity and Critical Exponent},
journal = {Journal of Partial Differential Equations},
year = {2022},
volume = {36},
number = {1},
pages = {68--81},
abstract = {<p style="text-align: justify;">In this paper, we consider the following Schrödinger-Poisson system \begin{equation*}\begin{cases} -\Delta u + \eta\phi u = f(x,u) + u^5,&amp; x\in\Omega,\\ -\Delta\phi=u^2,&amp; x\in\Omega,\\u = \phi =0,&amp; x\in \partial\Omega, \end{cases}\end{equation*} where $\Omega$ is a smooth bounded domain in $R^3$, $\eta=\pm1$ and the continuous function $f$ satisfies some suitable conditions. Based on the Mountain pass theorem, we prove the existence of positive ground state solutions.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v36.n1.5},
url = {http://global-sci.org/intro/article_detail/jpde/21294.html}
}