2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152136We study a second order differential equation corresponding to rotationally symmetric $F$-harmonic maps between certain noncompact manifolds. We show unique continuation and Liouville's type theorems for positive solutions. Asymptotic properties and the existence of bounded positive solutions are investigated.LaTex, 21 pagesDifferential Geometry34C11 (Primary) 58E20 (Secondary)text