2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127031In this paper we study the solutions of the $Q$-curvature equation on a 4-dimensional Riemannian manifold $(M,g)$ with $\int_MQdV_g=8π^2$, proving some sufficient conditions for the existence.Differential GeometryAnalysis of PDEs35B33; 35J35;53A30The $Q$-curvature on a 4-dimensional Riemannian manifold $(M,g)$ with $\int_MQdV_g=8π^2$text