2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170197In this note, we study Q-curvature flow on $S^4$ with indefinite nonlinearity. Our result is that the prescribed Q-curvature problem on $S^4$ has a solution provided the prescribed Q-curvature $f$ has its positive part, which possesses non-degenerate critical points such that $Δ_{S^4} f\not=0$ at the saddle points and an extra condition such as a nontrivial degree counting condition.7 pagesDifferential GeometryAnalysis of PDEs53Cxx, 35Jxxtext