Homogenization in weighted Sobolev spaces
type: Item
instance of: scholarly article
title: Homogenization in weighted Sobolev spaces
zbMATH Open document ID: 0608.49008
author: Riccardo De Arcangelis
author: P. Donato
published in: Ricerche di Matematica
publication date: 1985-01-01T00:00:00Z
review text: We study, in the framework of weighted Sobolev spaces, the homogenization of degenerate functionals of the type \(\int \sum_{ij}a_{ij}(x/\epsilon)w(x)D_ iuD_ judx\), with \(a_{ij}\) periodic functions. We give a representation formula for the homogenized functional and, as in the uniformly elliptic case, we prove the convergence of the momenta to the momentum of the limit.
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 3983975
zbMATH Keywords: gamma convergence
zbMATH Keywords: weighted Sobolev spaces
zbMATH Keywords: homogenization of degenerate functionals
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3983975