2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65899We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.5 pagesAnalysis of PDEs35J20text