Homogenization of non-linear second-order elliptic equations in perforated domains
В. В. Жиков, Михаил Евгеньевич Рычаго · Izvestiya Mathematics · 1997
The classical homogenization method of elliptic boundary value problems is based on the continuation of a solution, given in a perforated domain, to the entire initial domain. This method requires substantial restrictions on the perforated domain (the strong connectedness condition). In this paper we propose a new approach, which does not use the continuation technique. Here the strong connectedness is replaced by the usual connectedness.