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{\large \bf Existence and Regularity for Mixturs of}\\
{\large \bf  Micromagnetic Materials}\\

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

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

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\noindent {\bf 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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