Schrödinger-Poisson systems in $4$-dimensional closed manifolds

@inproceedings{Thizy2015SchrdingerPoissonSI,
  title={Schr{\"o}dinger-Poisson systems in \$4\$-dimensional closed manifolds},
  author={Pierre-Damien Thizy},
  year={2015}
}
We investigate existence, nonexistence and uniqueness of positive solutions of critical Schrodinger-Poisson systems in closed $4$-manifolds. In the process we provide a sharp criterion for the non-existence of resonant states.