This book is the first introductory and self-contained presentation of a method for the
analysis of singularly perturbed boundary value problems that we have called the Functional …

We consider the effective conductivity λeff of a periodic two-phase composite obtained by
introducing into an infinite homogeneous matrix a periodic set of inclusions of a different …

We study the effect of regular and singular domain perturbations on layer potential operators
for the Laplace equation. First, we consider layer potentials supported on a diffeomorphic …

We consider the Dirichlet problem for the Laplace equation in a planar domain with a small
hole. The diameter of the hole is proportional to a real parameter ε and we denote by u ε the …

The purpose of this paper is to study boundary value problems of Robin type for the
Brinkman system and a semilinear elliptic system, called the Darcy–Forchheimer–Brinkman …

In this survey, we present some results on the behavior of effective properties in presence of
perturbations of the geometric and physical parameters. We first consider the case of a …

We study the asymptotic behaviour of solutions of a boundary value problem for the Laplace
equation in a perforated domain in R n, n≥ 3, with a (nonlinear) Robin boundary condition …

We consider a pair of domains Ω b and Ω s in ℝ n and we assume that the closure of Ω b
does not intersect the closure of εΩ s for ε∈] 0, ε0 [. Then for a fixed ε∈] 0, ε0 [we consider a …

Let Ωi and Ωo be two bounded open subsets of Rn containing 0. Let Gi be a (nonlinear) map
from∂ Ωi× Rn to Rn. Let ao be a map from∂ Ωo to the set Mn (R) of n× n matrices with real …

We consider a heat transmission problem for a composite material which fills the n-
dimensional Euclidean space. The composite has a periodic structure and consists of two …