Homogenizaton of a Nonhomogeneous Signorini Problem for the Poisson Equation in a Periodically Perforated Domain

摘要

Numerous papers (e.g., see [1-4]) deal with homogenization problems for variational inequalities. In the present paper, we study the asymptotic behavior of solutions of the Poisson equation in an ε-periodically perforated domain with nonzero Signorini conditions on the cavity boundaries as ε → 0.