A homogenization problem in a perforated domain with both Dirichlet and Neumann conditions on the boundary of the holes

Article type: Research Article

Authors: Esposito, Antonio Corbo | D'Apice, Ciro | Gaudiello, Antonio

Affiliations: Università di Cassino, facoltà di Ingegneria, via G. Di Biasio 43, 03043 Cassino, FR, Italy E‐mail: corbo@unicas.it, gaudiell@unina.it | Dipartimento di Ingegneria dell' Informazione e Matematica Applicata, via Ponte don Melillo, 84084 Fisciano, SA, Italy E‐mail: dapice@diima.unisa.it

Abstract: We present an interference phenomenon in the homogenization of the Poisson equation when nonhomogeneous Neumann condition is imposed on part of the boundary of the holes and Dirichlet condition is imposed on the remaining part.

Keywords: homogenization, perforated domains

Journal: Asymptotic Analysis, vol. 31, no. 3-4, pp. 297-316, 2002