This textbook is a completely revised, updated, and expanded English edition of the
important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and …

This book is about differentiation of functions. It is divided into two parts, which can be used
as different textbooks, one for an advanced undergraduate course in functions of one …

The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for
the description of the asymptotic behaviour of variational problems. Its applications range …

In this paper, we consider a variational restoration model consisting of the I-divergence as
data fitting term and the total variation semi-norm or nonlocal means as regularizer for …

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

The ill-posed problem of solving linear equations in the space of vector-valued finite Radon
measures with Hilbert space data is considered. Approximate solutions are obtained by …

We introduce a new optimal transport distance between nonnegative finite Radon measures
with possibly different masses. The construction is based on non-conservative continuity …

We investigate a family of regression problems in a semisupervised setting. The task is to
assign real-valued labels to a set of n sample points provided a small training subset of N …

In this article, we investigate multiplicity results for Choquard-Kirchhoff type equations, with
Hardy-Littlewood-Sobolev critical exponents,− a+ b∫ RN|∇ u| 2 dx Δ u= α k (x)| u| q− 2 u+ …

Publisher Summary This chapter discusses the main properties of Γ-convergence, in
particular those that are useful in the actual computation of Γ-limits. For some classes of …