2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225196This paper is devoted to the Hartree-Fock model with temperature in the euclidean space. For large classes of free energy functionals, minimizers are obtained as long as the total charge of the system does not exceed a threshold which depends on the temperature. The usual Hartree-Fock model is recovered in the zero temperature limit. An orbital stability result for the Cauchy problem is deduced from the variational approach.Analysis of PDEs35Q40; 81V45; 47G20; 81Q10; 82B10text