2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231361We give a shorter proof of the existence of nontrivial closed minimal hypersurfaces in closed smooth $(n+1)$--dimensional Riemannian manifolds, a theorem proved first by Pitts for $2\leq n\leq 5$ and extended later by Schoen and Simon to any $n$.Analysis of PDEsDifferential Geometrytext