Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\)
type: Item
instance of: scholarly article
title: Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\)
zbMATH Open document ID: 1332.35031
DOI: 10.1134/S1064562415040201
published in: Doklady Mathematics
publication date: 2015-11-12T00:00:00Z
review text: The authors perform the homogenisation asymptotics in the critical case \(p=n\), where \(p\) is the order of the Laplacian while \(n\) is the dimension of the space. The domain is perforated by very thin cavities endowed with a very special kind of nonlinearity (boundary condition) along their active surface.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J66
zbMATH DE Number: 6507781
zbMATH Keywords: homogenisation asymptotics
author: A. V. Podolskiy
author: T. A. Shaposhnikova
MaRDI profile type: Publication
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full work available at URL: s1064562415040201
OpenAlex ID: W2485068026
description: scientific article; zbMATH DE number 6507781