ABSTRACT A mathematical model and a variational method of computation of optimal
parameters for transdermal (hypodermic) medicine delivery by microneedle systems are …

In this paper, we study the asymptotic behavior of solutions u ε of the elliptic variational
inequality for the Laplace operator in domains periodically perforated by balls with radius of …

In this article, we consider variational inequalities arising, eg, in modelling diffusion of
substances in porous media. We assume that the media fills a domain Ωϵ of ℝ n with n≥ 3 …

The first part of this thesis is concerned with extension operators for Sobolev spaces on
periodic domains and their applications. When homogenizing nonlinear partial differential …

We establish conditions for the convergence of solutions of variational inequalities with
operators A s: W 1, p (Ω s)→(W 1, p (Ω s))∗ in divergence form and constraint sets V s⊂ W …

In this article we deal with a sequence of functionals defined on weighted Sobolev spaces.
The spaces are associated with a sequence of domains Ω s contained in a bounded domain …

In this article, we give sufficient conditions for the convergence of minimizers and minimum
values of integral and more general functionals on sets of functions defined by bilateral …

Nous considèrons inégalités variationnelles pour lʼopérateur de Laplace dans une
domaine Ω de R n périodiquement perforé, et avec des restrictions pour le flux sur la …

In homogenization, two-scale models arise, eg, by applying Nguetseng's notion of two-scale
convergence to nonlinear PDEs. A homogenized single-scale problem may then be derived …

This work is devoted to scale transformations of stationary nonlinear problems. A class of
coarse-scale problems is first derived by integrating a family of two-scale minimization …