On the Existence of Critical Points to the Seiberg-Witten Functional

Abstract

Considering 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 way