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 …

In this paper we study the existence of solutions in parabolic Schauder space of a nonlinear
mixed boundary value problem for the heat equation in a perforated domain. From a given …

We lay down the preliminary work to apply the Functional Analytic Approach to quasi-
periodic boundary value problems for the Helmholtz equation. This consists in introducing a …

Let Ω i, Ω o be bounded open connected subsets of ℝ n that contain the origin. Let Ω (ϵ)≡ Ω
o\ϵ Ω i‾ for small ϵ> 0. Then, we consider a linear transmission problem for the Helmholtz …

In this paper we study the existence and the analytic dependence upon domain perturbation
of the solutions of a nonlinear nonautonomous transmission problem for the Laplace …

In this paper we study the existence and the analytic dependence upon domain perturbation
of the solutions of a nonlinear nonautonomous transmission problem for the Laplace …

This chapter is devoted to the application of the Functional Analytic Approach to nonlinear
boundary value problems in domains with a small hole. We consider only the case where …

This dissertation is devoted to the study of two nonlinear nonautonomous transmission
boundary value problems for the Laplace operator in perturbed domains. From a …

The starting point of this thesis is a paper by M. Dalla Riva and G. Mishuris where the
authors have considered a nonlinear contact problem that arises in the study of composite …