Homogenization of a quasilinear elliptic problem in domains with small holes

This work aims to provide the asymptotic behavior of some class of quasilinear problems posed in a domain with small holes in for N>2, as . A nonlinear Robin boundary condition is prescribed on some of the holes, while a Dirichlet boundary one is imposed on the other holes as well as on the outer...

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Bibliographic Details
Published in:Applicable analysis 2022-10, Vol.101 (15), p.5193-5212
Main Authors: Avila, Jake, Cabarrubias, Bituin
Format: Article
Language:English
Subjects:
Asymptotic properties
Boundary conditions
Dirichlet problem
Domains
Homogenization
nonlinear Robin condition
periodic unfolding method
quasilinear problem
small holes
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Summary:This work aims to provide the asymptotic behavior of some class of quasilinear problems posed in a domain with small holes in for N>2, as . A nonlinear Robin boundary condition is prescribed on some of the holes, while a Dirichlet boundary one is imposed on the other holes as well as on the outer boundary. We apply the Periodic Unfolding Method for the homogenization of this problem.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2021.1884226