Homogenization of a quasilinear elliptic problem in domains with small holes. Issue 15 (13th October 2022)

• Record Type: Journal Article
• Authors: Avila, Jake; Cabarrubias, Bituin
• Is Part Of: Applicable analysis. Volume 101:Issue 15(2022)
• Page Start: 5193
• Page End: 5212
• Publication Date: 2022-10-13
• Subjects: Homogenization -- nonlinear Robin condition -- periodic unfolding method -- quasilinear problem -- small holes; 35B27 -- 35J62 -- 35M13; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1884226
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : This work aims to provide the asymptotic behavior of some class of quasilinear problems posed in a domain with small holes in R N for N >2, as ϵ → 0 . 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.