The capacity method for asymptotic Dirichlet problems
Gianni Dal Maso, Adriana Garroni · Asymptotic Analysis · 1997
We prove that the asymptotic behaviour of the solutions of Dirichlet problems for second-order, linear, not necessarily symmetric elliptic equations in perforated domains of the form Ω h =Ω\E h is uniquely determined by the asymptotic behaviour, as h→∞, of suitable capacities of the sets B∩E h , where B runs in a conveniently large class of subsets of Ω.