Ground states for a zero‐mass and Coulomb–Sobolev critical Schrödinger–Poisson–Slater problem

Xiaoquan Feng, Xingwen Chen and Qiongfen Zhang

Mathematische Nachrichten, 2025, vol. 298, issue 11, 3540-3553

Abstract: In this paper, we consider the following Schrödinger–Poisson–Slater equation: −Δu+14π|x|*|u|2u=μ|u|p−2u+|u|2u,inR3,$$\begin{equation*}\hspace*{35pt} -\Delta u+ \left(\frac{1}{4\pi |x|}\ast |u|^{2}\right)u=\mu |u|^{p-2}u+|u|^{2}u,\ \ \mathrm{in} \ \mathbb {R}^{3}, \nonumber \end{equation*}$$where μ>0$\mu >0$ and 3

Date: 2025
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