Double‐porosity homogenization for perimeter functionals
Margherita Solci · Mathematical Methods in the Applied Sciences · 2009
Abstract In this paper we are concerned with the overall description of interfacial energies in a composite environment where the local properties of the media are characterized by a large variation of the values of surface tension ( double‐porosity homogenization ). We prove some asymptotic results in terms of Γ‐convergence for a sequence of functionals modelling these energies. We show the connection of the Γ‐limit with the geometry of the periodic ‘holes’ of the perforated domain, in particular investigating the relation with the Cheeger constant and the Cheeger set of a convex subset of ℝ n .