A note on a 3-dimensional stationary Schrodinger-Poisson system

Abstract

In a previous paper we have proved existence of a ground state for a stationary Schrödinger-Poisson system in the whole space ℝ3 under appropriate assumptions on the data, namely the dopant-density n* and the effective potential Ṽ. In this note we show that the same result remains true under less restrictive hypotheses.