Existence and Regularity for Mixtures of
Micromagnetic Materials



E. Acerbi and Giuseppe Mingione
Dipartimento di Matematica
Viale Delle Scienze
43100 Parma, Italy
acerbi@unipr.it
mingione@unipr.it



Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu



Abstract. A new model for the energy of a mixture of micromagnetic materials is introduced within the context of functions with special bounded variation ($SBV$). Existence and regularity for the solution of an optimal design problem in micromagnetics are obtained.

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