Serre, Denis Periodic homogenization in terms of differential forms. (English) Zbl 1463.35066 Rev. Roum. Math. Pures Appl. 63, No. 4, 527-546 (2018). Summary: We embed the homogenization theory of second-order elliptic differential equations in a more general framework, where the unknown is a differential form of arbitrary degree. This allows us to unify some scattered facts as pieces of general statements. A central tool is the duality between the homogenization of forms of complementary degrees. MSC: 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 74Q20 Bounds on effective properties in solid mechanics Keywords:elliptic PDE; homogenization; differential forms; duality PDFBibTeX XMLCite \textit{D. Serre}, Rev. Roum. Math. Pures Appl. 63, No. 4, 527--546 (2018; Zbl 1463.35066)