The General Theory of Homogenization: A Personalized Introduction

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Homogenization and boundary layers (2012, background): “We refer to the reknown book [7] for a good overview (see also the more recent books [17, 10, 9, 22]).”
Quantitative Stochastic Homogenization and Large-Scale Regularity (2017, background): “There is a vast and rich mathematical literature on homogenization developed in the last forty years and already many good expositions on the topic (see for instance the books [5, 22, 27, 33, 34, 74, 80, 105, 113]).”
Strain gradient and generalized continua obtained by homogenizing frame lattices (2018, background): “Closely related is the case (which could be called “infinitely high contrast” case) when holes are present (see for instance chapter 16 of [78]).”
The div-curl lemma trente ans après : an extension and an application to the G-convergence of unbounded monotone operators (2009, unknown): “Keywords: Div-curl lemma; Homogenization; Monotone operators”
Γ-convergence for nonlocal phase transitions (2012, background): “Introduction and statement of the main results As well-known, the Γ-convergence, introduced in [11, 12], is a notion of convergence for functionals, which tends to be as compatible as possible with the minimizing features of the energy, and whose limit is capable to capture essential features of…”