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

Celso M. Doria
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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.

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BibTeXRIS

Celso M. Doria. 2001-08-24. On the Existence of Critical Points to the Seiberg-Witten Functional. https://arxiv.org/abs/math/0009245

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