2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129008We prove the existence and stability of flat steady states of the Vlasov-Poisson system, which in astrophysics are used as models of disk-like galaxies. We follow the variational approach developed by Guo and Rein for this type of problems and extend previous results of Rein. In particular, we employ a reduction procedure which relates the stability problem for the Vlasov-Poisson system to the analogous question for the Euler-Poisson system.21 pagesMathematical Physics35B35, 85A05text