Two-parameter homogenization for a Ginzburg-Landau problem in a perforated domain


Let A be an annular type domain in R. Let Aδ be a perforated domain obtained by punching periodic holes of size δ in A; here, δ is sufficiently small. Suppose that J is the class of complex-valued maps in Aδ , of modulus 1 on ∂Aδ and of degrees 1 on the components of ∂A, respectively 0 on the boundaries of the holes. We consider the existence of a minimizer… (More)
DOI: 10.3934/nhm.2008.3.461