On the asymptotic behaviour of a variable exponent power law magnetostatic problem

Abstract

We introduce a variational scheme to study the asymptotic behaviour of magnetostatic problems, with a -curl-type equation coming from the stationary Maxwell equations in magnetic media coupled with a nonstandard magnetic constitutive power law, which enables the explicit computation of the effective coefficients.

Keywords:

• -power law functionals
• -convergence
• Maxwell equations
• composite

AMS Subject Classifications:

• 35B27
• 35Q61
• 49K20
• 78M30

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

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).