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We discuss variational problems for the -Dirichlet integral, non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.
For solving the boundary-value problem for potential of a stationary magnetic field in two dimensions in ferromagnetics it is possible to use a linearization based on the succesive approximations. In this paper the convergence of this method is proved under some conditions.
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