2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130174We consider the problem $F=f(ν)$ for strictly convex, closed hypersurfaces in $S^{n+1}$ and solve it for curvature functions $F$ the inverses of which are of class $(K)$.Final version, the mod 2 degree argument has been replaced by a simpler argumentDifferential Geometrytext