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Boundary Value Problems for the 2nd2^{nd}-order Seiberg-Witten Equations

Abstract

It is shown that the non-homogeneous Dirichlet and Neuman problems for the 2nd2^{nd}-order Seiberg-Witten equation admit a regular solution once the H\mathcal{H}-condition (described in the article) is satisfied. The approach consist in applying the elliptic techniques to the variational setting of the Seiberg-Witten equation.Comment: 19 page

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