Browsing by Author "Mel'nyk, Taras A."

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Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary

[OWP-2018-06] Gaudiello, Antonio; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)

We consider a domain $\Omega_\varepsilon\subset\mathbb{R}^N$ , $N\geq2$ , with a very rough boundary depending on~ $\varepsilon$ . For instance, if $N=3$ the domain $\Omega_\varepsilon$ has the form of a brush with an ...
Spatial-Skin Effect for a Spectral Problem with "Slightly Heavy" Concentrated Masses in a Thick Cascade Junction

[OWP-2012-10] Čečkin, Grigorij A.; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2012-07-03)

The asymptotic behavior (as $\varepsilon \to 0$ ) of eigenvalues and eigenfunctions of a boundary- value problem for the Laplace operator in a thick cascade junction with concentrated masses is studied. This cascade junction ...