2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73492We study the problem of prescribing the Paneitz curvature on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.29 pagesAnalysis of PDEsDifferential Geometry35J60, 53C21, 58J05text