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

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 …

Results on the convergence of sequences of solutions of non-linear equations and
variational inequalities for obstacle problems are proved. The variational inequalities and …

The authors analyze dynamic processes of filtration in porous media and consider periodic
porous media formed by a large number of “blocks” with low permeability, separated by a …

We note that (1),(2) are the variational form of the problem where Δpu≡ div (|∇ u| p–2∇
u),∂ ν u≡|∇ u| p–2 (∇ u, ν), and ν denotes the unit outward normal to∂ Ωε on Sε. The …

We study the homogenization of obstacle problems in Orlicz-Sobolev spaces for a wide
class of monotone operators (possibly degenerate or singular) of the $ p (\cdot) $-Laplacian …

Microneedle systems are compiled by a sufficiently large number of microneedles which are
mounted on a flat base and used for drugs injection in modern medicine. Such systems are …

The problem of modeling wave and heat processes in a cylinder composed of alternating
layers with different characteristics is considered. Using the homogenization theory, this …

Досліджено динамічні процеси фільтраці¿ у пористих середовищах. Розглянуто пористі
періодичні середовища, утворені великою кількістю «блоків» з низькою проникr ністю …

В настоящей работе представлен новый вариационный метод моделирования и
вычисления параметров трансдермальных (подкожных) инъекций лекарств при …