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arXiv math/0403469math.APmath-phmath.DGmath.MP

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

C M Doria

英文摘要:

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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