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 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 …

We study the behavior of the longitudinal flow along a periodic array of cylinders upon
perturbations of the shape of the cross section of the cylinders and the periodicity structure …

We introduce space‐periodic layer heat potentials and we prove some regularizing
properties in parabolic Schauder spaces defined on the boundary of infinite parabolic …

We investigate the effective thermal conductivity of a two-phase composite with thermal
resistance at the interface. The composite is obtained by introducing into an infinite …

Let be a bounded open domain of. Let denote the outward unit normal of. We assume that
the Steklov problem Δu= 0 in and on has a simple eigenvalue of. Then we consider an …

Let n∈ ℕ∖{0, 1}. Let q be the n× n diagonal matrix with entries q 11,…, q nn in] 0,+∞[. Then
q ℤ n is aq-periodic lattice in ℝ n with fundamental cell. Let p∈ Q. Let Ω be a bounded open …

In this note, we consider a Robin-type traction problem for a linearly elastic body occupying
an infinite periodically perforated domain. After proving the uniqueness of the solution we …

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 …