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We use the technique developed in [32]-[33] to construct the upper and thelower bounds for classes of problems containing non-local terms, includingproblems in micromagnetics and problems arising in the variational study of theMethod of Vanishing Viscosity for systems of conservation laws. We reducedthese problems to the problems considered in [32]-[33], with the appropriateprescribed differential constraint.

On the $\Gamma$-limit of singular perturbation problems with optimal  profiles which are not one-dimensional. Part III: The energies with non local  terms