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

C M Doria

Published 2004-03-26Version 1

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.