2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60740In this paper we study some fourth order elliptic equation involving the critical Sobolev exponent, related to the prescription of a fourth order conformal invariant on the standard sphere. We use a topological method to prove the existence of at least a solution when the function to be prescribed is close to a constant and a finite dimensional map associated to it has non-zero degree.27 pagesAnalysis of PDEsDifferential Geometry53C21; 35B45; 35J60; 53A30; 58G30text