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

C M Doria
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Abstract

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

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C M Doria. 2004-03-26. Boundary Value Problems for the $2^{nd}$-order Seiberg-Witten Equations. https://arxiv.org/abs/math/0403469

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