Q1707157
type: Item
instance of: scholarly article
title: Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case
zbMATH Open document ID: 1391.35041
DOI: 10.1134/S1064562417060229
published in: Doklady Mathematics
publication date: 2018-03-28T00:00:00Z
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 6854411
zbMATH Keywords: nonlinear Robin-type condition
author: A. V. Podolskiy
author: T. A. Shaposhnikova
MaRDI profile type: Publication
cites work: Q4538025
cites work: Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities
cites work: On homogenization problems for the Laplace operator in partially perforated domains with Neumann's condition on the boundary of cavities
cites work: On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
cites work: Q3834400
cites work: On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems
cites work: Homogenization of boundary value problems in perforated domains with the third boundary condition and the resulting change in the character of the nonlinearity in the problem
cites work: Averaging of variational inequalities for the Laplacian with nonlinear restrictions along manifolds
cites work: Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions
cites work: Q4777761
cites work: Q5686382
full work available at URL: s1064562417060229
OpenAlex ID: W2782457367
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label: Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case
description: scientific article; zbMATH DE number 6854411