2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168007We give existence results for solutions of the prescribed scalar curvature equation on $S^3$, when the curvature function is a positive Morse function and satisfies an index-count condition.23 pages, 1 figureDifferential GeometryAnalysis of PDEs35J60; 35J20; 55C21The Scalar Curvature Equation on $S^3$text