2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/14644There are observational and theoretical indications that both the visible (stars) and the dark matter density distributions in elliptical galaxies increase significantly up to the galactic center. I present here some analytical results obtained with the aid of self-consistent, spherically symmetric two component galaxy models. These results suggest the possibility that this similar behavior could be a direct consequence of the structural and dynamical constraints imposed by the request of positivity of the phase-space distribution function of each density component.4 pages, to appear in "Galaxy Dynamics: from the Early Universe to the Present", ASP Conf. Series, eds. F. Combes, G. Mamon, V. CharmandarisAstrophysicstext