2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60010Considering that the Seiberg-Witten functional satisfies the Palais-Smale Condition, up to gauge equivalence, the Minimax Principle can be applied on the moduli space to prove the existence of critical points, which correspond to solutions of the second-order SW-equations, up to gauge equivalence.15 pages; the title was changed and some parts of the text have been improved in order to stress technical points originally treated in a sloppy wayDifferential GeometryMathematical PhysicsGeometric Topology58J05 ; 58E50text