Briane, M.; Damlamian, A.; Donato, P. \(H\)-convergence for perforated domains. (English) Zbl 0943.35005 Cioranescu, D. (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France seminar. Vol. XIII. Lectures held at the J. L. Lions seminar on applied mathematics, Paris, France, 1994-1996. Harlow: Longman. Pitman Res. Notes Math. Ser. 391, 62-100 (1998). The authors introduce the notion of \(H^0\) convergence giving an unified account of the results on elliptic problems with holes. They also consider the problem of correctors in the periodic case and investigate the relations between the proposed general framework and existing results.For the entire collection see [Zbl 0927.00031]. Reviewer: Marco Biroli (Monza) Cited in 1 ReviewCited in 17 Documents MSC: 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35B40 Asymptotic behavior of solutions to PDEs Keywords:elliptic problems with holes; correctors in the periodic case PDFBibTeX XMLCite \textit{M. Briane} et al., Pitman Res. Notes Math. Ser. 391, 62--100 (1998; Zbl 0943.35005)