L. Boccardo and J. Casado-díaz, Some properties of solutions of some semilinear elliptic singular problems and applications to the G-convergence, Asymptot. Anal, vol.86, pp.1-15, 2104.

L. Boccardo and L. Orsina, Semilinear elliptic equations with singular nonlinearities, Calculus of Variations and Partial Differential Equations, vol.57, issue.3-4, pp.363-380, 2010.
DOI : 10.1007/s00526-009-0266-x

D. Cioranescu, F. Murat, and U. Termé-etrange-venu-d-'ailleurs, English translation: D. Cioranescu and F. Murat, A strange term coming from nowhere, Nonlinear partial differential equations and their applications,Colì ege de France Seminar II and Topics in mathematical modeling of composite materials Progress in Nonlinear Differential Equations and their Applications 31, pp.98-138, 1982.

M. G. Crandall, P. H. Rabinowitz, and L. Tartar, On a dirichlet problem with a singular nonlinearity, Communications in Partial Differential Equations, vol.23, issue.2, pp.193-222, 1977.
DOI : 10.1080/03605307708820029

G. , D. Maso, and A. Garroni, New results on the asymptotic behaviour of Dirichlet problems in perforated domains, Math. Mod. Math. Appl. Sci, vol.3, pp.373-407, 1994.

G. , D. Maso, and F. Murat, Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators, Ann. Scuola Norm. Sup. Pisa, vol.24, pp.239-290, 1997.

G. , D. Maso, and F. Murat, Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains, Ann. Inst. H. Poincaré Anal. non linéaire, vol.21, pp.445-486, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00018032

P. Donato and D. Giachetti, Existence and Homogenization for a Singular Problem Through Rough Surfaces, SIAM Journal on Mathematical Analysis, vol.48, issue.6, pp.4047-4086, 2016.
DOI : 10.1137/15M1032107

D. Giachetti, P. J. Martínez-aparicio, and F. Murat, A semilinear elliptic equation with a mild singularity at u=0: Existence and homogenization, Journal de Math??matiques Pures et Appliqu??es, vol.107, issue.1, pp.41-77, 2017.
DOI : 10.1016/j.matpur.2016.04.007
URL : https://hal.archives-ouvertes.fr/hal-01157762

D. Giachetti, P. J. Martínez-aparicio, and F. Murat, Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at u = 0, Ann. Sc. Norm. Sup. Pisa, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01348682

D. Giachetti, P. J. Martínez-aparicio, and F. Murat, Advances in the Study of Singular Semilinear Elliptic Problems, Trends in differential equations and applications, pp.221-241, 2016.
DOI : 10.1016/j.matpur.2016.04.007
URL : https://hal.archives-ouvertes.fr/hal-01502651

D. Giachetti, P. J. Martínez-aparicio, and F. Murat, Remarks on the definition of the solution to a semilinear elliptic problem with a strong singularity at u = 0
URL : https://hal.archives-ouvertes.fr/hal-01505876

D. Giachetti, B. Vernescu, and M. A. Vivaldi, Asymptotic analysis of singular problems in perforated cylinders, Differential Integral Equations, vol.29, pp.531-562, 2016.

A. C. Lazer and P. J. Mckenna, On a singular nonlinear elliptic boundary-value problem, Proceedings of the American Mathematical Society, vol.111, issue.3, pp.721-730, 1991.
DOI : 10.1090/S0002-9939-1991-1037213-9

V. A. Marcenko and E. Ja, Hruslov, Boundary value problems in domains with fine-grained boundary, Russian.) Naukova Dumka, 1974.

F. Oliva and F. Petitta, Finite and infinite energy solutions of singular elliptic problems: Existence and uniqueness

C. A. Stuart, Existence and approximation of solutions of non-linear elliptic equations, Mathematische Zeitschrift, vol.12, issue.1, pp.53-63, 1976.
DOI : 10.1007/BF01214274