Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems

Tomas Dutko, Carlo Mercuri, Teresa Megan Tyler

We study a nonlinear Schrödinger-Poisson system which reduces to the nonlinear and nonlocal equation \[- Δu+ u + λ^2 \left(\frac{1}{ω|x|^{N-2}}\star ρu^2\right) ρ(x) u = |u|^{q-1}…