2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165757We prove an existence and uniqueness result for ground states and for purely angular excitations of two-dimensional Schrödinger-Newton equations. From the minimization problem for ground states we obtain a sharp version of a logarithmic Hardy-Littlewood-Sobolev type inequality.Mathematical Physics35Q55; 35Q40,47J10text