Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs, 2000. ,
Compactness methods in the theory of homogenization, Communications on Pure and Applied Mathematics, vol.56, issue.6, pp.803-847, 1987. ,
DOI : 10.1007/978-3-642-96379-7
Compactness methods in the theory of homogenization II: Equations in non-divergence form, Communications on Pure and Applied Mathematics, vol.37, issue.2, pp.139-172, 1989. ,
DOI : 10.1007/978-3-642-96379-7
Lp bounds on singular integrals in homogenization, Communications on Pure and Applied Mathematics, vol.43, issue.8-9, pp.897-910, 1991. ,
DOI : 10.1002/cpa.3160440805
Asymptotic analysis for periodic structures, Studies in Mathematics and its Applications, 1978. ,
DOI : 10.1090/chel/374
Le Bris, Local approximation of the gradient for multiscale problems with defects ,
A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects, Milan Journal of Mathematics, vol.88, issue.2, pp.351-367, 2012. ,
DOI : 10.4171/ZAA/1133
Profils locaux etprobì emes elliptiquesà elliptiquesà plusieurséchellesplusieurséchelles avec défauts, [Local profiles and elliptic problems at different scales with defects] Note aux Comptes Rendus de l'Académie des Sciences, pp.203-208, 2015. ,
DOI : 10.1016/j.crma.2015.01.003
Local Profiles for Elliptic Problems at Different Scales: Defects in, and Interfaces between Periodic Structures, Communications in Partial Differential Equations, vol.26, issue.12, pp.2173-2236, 2015. ,
DOI : 10.1007/978-1-4612-1015-3
URL : https://hal.archives-ouvertes.fr/hal-01143193
On correctors for linear elliptic homogenization in the presence of local defects: the case of advection-diffusion ,
URL : https://hal.archives-ouvertes.fr/hal-01697105
Asymptotic behaviour of Green functions of divergence form operators with periodic coefficients, Applied Mathematics Research Express, issue.1, pp.79-101, 2013. ,
Integrability and continuity of solutions to double divergence form equations, Annali di Matematica Pura ed Applicata (1923 -), vol.254, issue.10, pp.1609-1635, 2017. ,
DOI : 10.1007/978-1-4612-1015-3
Fokker- Planck-Kolmogorov equations, Mathematical Surveys and Monographs, vol.207, 2015. ,
DOI : 10.1090/surv/207
Zero order a priori estimates for solutions of elliptic differential equations, Proc. Sympos. Pure Math, pp.157-166, 1961. ,
DOI : 10.1090/pspum/004/0146511
Estimates for Green's matrices of elliptic systems byL p theory, Manuscripta Mathematica, vol.17, issue.1, pp.261-273, 1995. ,
DOI : 10.1007/BF02567822
Asymptotic and numerical homogenization, Acta Numer, pp.147-190, 2008. ,
DOI : 10.1017/s0962492906360011
Partial differential equations, Graduate Studies in Mathematics, vol.19, 2010. ,
Multiple integrals in the calculus of variations and nonlinear elliptic systems, 1983. ,
An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs, Lecture Notes Scuola Normale Superiore di Pisa, 2012. ,
Elliptic partial differential equations of second order. Reprint of the 1998 edition, Classics in Mathematics, 2001. ,
A regularity theory for random elliptic operators ,
URL : https://hal.archives-ouvertes.fr/hal-01093368
The Green function for uniformly elliptic equations, Manuscripta Mathematica, vol.26, issue.3, pp.303-342, 1982. ,
DOI : 10.1007/BF01166225
Homogenization of differential operators and integral functionals, 1994. ,
DOI : 10.1007/978-3-642-84659-5
On the elliptic equation Lu ? k + K exp, Ann. Scuola Norm. Super. Pisa (IV), vol.2, issue.12, pp.191-224, 1985. ,
Periodic Homogenization of Green and Neumann Functions, Communications on Pure and Applied Mathematics, vol.59, issue.3, pp.1219-1262, 2014. ,
DOI : 10.1016/0022-1236(84)90066-1
The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.1, issue.4, pp.109-145, 1984. ,
DOI : 10.1016/S0294-1449(16)30422-X
Ondelettes et opérateurs. II. [Wavelets and operators. II] Opérateurs de Caldern-Zygmund ,
On Harnack's theorem for elliptic differential equations, Communications on Pure and Applied Mathematics, vol.13, issue.3, pp.577-591, 1961. ,
DOI : 10.1007/978-3-642-47434-7
Harmonic analysis: real-variable methods, orthogonality , and oscillatory integrals. Princeton Mathematical Series, 43. Monographs in Harmonic Analysis, III, 1993. ,