Quantitative properties on the steady states to a Schrödinger–Poisson–Slater System

Abstract

A relatively complete picture on the steady states of the following Schrödinger-Poisson-Slater (SPS) systemis given in this paper: existence, uniqueness, regularity and asymptotic behavior at infinity, where CS > 0 is a constant. To the author's knowledge, this is the first uniqueness result on SPS system.