On the homogenization of some nonlinear problems in perforated domains (Q1174516)

Homogenization of a class of nonlinear elliptic Neumann problems in perforated domains of \(R^ n\) is studied. The perforation is given by a set \(T_ \varepsilon\) of holes which are removed from a fixed bounded domain \(\Omega\subset R^ n\). The holes are characterized by \(\varepsilon>0\). The asymptotic behaviour as \(\varepsilon\to 0\) of the solutions \(u_ \varepsilon\) of the problem on the perforated domain is studied.