A Variational Approach to the Homogenization of Double Phase ph(x)-Curl Systems in Magnetism

  • Hélia Serrano
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)


We introduce a variational approach to study the homogenization of a class of p h (x)-curl systems arising in Magnetism based on the study of the Γ-convergence of the sequence of associated energies. The explicit characterization of the effective coefficients is obtained by means of a three dimensional minimization problem when p h (x) is a double phase exponent.



This work was supported by projects MTM2013-47053-P from Ministerio de Economía y Competitividad, and PEII-2014-010-P from Junta de Comunidades de Castilla-La Mancha (Spain).


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Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad de Castilla-La ManchaCiudad RealSpain

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