2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70593The Yamabe problem concerns finding a conformal metric on a given closed Riemannian manifold so that it has constant scalar curvature. This paper concerns mainly a fully nonlinear version of the Yamabe problem and the corresponding Liouville type problem.Analysis of PDEsDifferential Geometry35J60; 58J05On some conformally invariant fully nonlinear equations, Part II: Liouville, Harnack and Yamabetext