2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133083The relation between the number of solutions of a nonlinear equation on a Riemannian manifold and the topology of the manifold itself is studied. The technique is based on Ljusternik-Schnirelmann category and Morse theory.Analysis of PDEs58J05Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifoldtext