Existence and Uniqueness of Constraint Minimizers for the Planar Schrodinger-Poisson System with Logarithmic Potentials

Yujin Guo, Wenning Liang, Yan Li

In this paper, we study constraint minimizers $u$ of the planar Schrödinger-Poisson system with a logarithmic convolution potential $\ln |x|\ast u^2$ and a logarithmic external pot…