On a planar Schrödinger-Poisson system involving a non-symmetric potential

Riccardo Molle, Andrea Sardilli

We prove the existence of a ground state positive solution of Schrödinger-Poisson systems in the plane of the form $$ -Δu + V(x)u + \fracγ{2π} \left(\log|\cdot| \ast u^2 \right)u =…