dc.contributor.author Gaudiello, Antonio dc.contributor.author Mel'nyk, Taras A. dc.date.accessioned 2018-04-16T12:28:14Z dc.date.available 2018-04-16T12:28:14Z dc.date.issued 2018-04-16 dc.identifier.uri http://publications.mfo.de/handle/mfo/1359 dc.description.abstract 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 $\varepsilon$-periodic distribution of thin cylinders with fixed height and a small diameter of order $\varepsilon$. In $\Omega_\varepsilon$ a nonlinear monotone problem with nonlinear Signorini boundary conditions, depending on $\varepsilon$, on the lateral boundary of the cylinders is considered. We study the asymptotic behavior of this problem, as $\varepsilon$ vanishes, i.e. when the number of thin attached cylinders increases unboundedly, while their cross sections tend to zero. We identify the limit problem which is a nonstandard homogenized problem. Namely, in the region filled up by the thin cylinders the limit problem is given by a variational inequality coupled to an algebraic system. en_US dc.language.iso en_US en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2018,06 dc.subject Homogenization of rough boundaries en_US dc.subject Nonlinear monotone problems en_US dc.subject Nonlinear Signorini boundary conditions en_US dc.title Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary en_US dc.type Preprint en_US dc.rights.license Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. de dc.rights.license This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. en dc.identifier.doi 10.14760/OWP-2018-06 local.scientificprogram Research in Pairs 2017 en_US local.series.id OWP-2018-06 en_US local.subject.msc 35 en_US dc.identifier.urn urn:nbn:de:101:1-201804279241 dc.identifier.ppn 1655259148
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