2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210752This paper deals with the Klein-Gordon-Maxwell system in a bounded spatial domain. We study the existence of solutions having a specific form, namely standing waves in equilibrium with a purely electrostatic field. We prescribe Dirichlet boundary conditions on the matter field, and either Dirichlet or Neumann boundary conditions on the electric potential.14 pagesAnalysis of PDEsMathematical Physics35J55; 35J65; 35J50; 35Q40; 35Q60text