References
N. Ansini, Asymptot. Anal. 39, 113–145 (2004).
J. C. Díaz and A. Garroni, Homogenization and Applications to Material Sciences, GAKUTO Int. Ser. Math. Sci. Appl. (Gakkotosho, Tokyo, 1995), Vol. 9, pp. 81–94.
J. C. Díaz, Nonlinear Partial Differential Equations and Free Boundaries, Vol. 1: Elliptic Equations (Pitman, Boston, 1985).
P. Donato and G. Moscariello, Rend. Sem. Mat. Univ. Padova 84, 91–108 (1990).
D. Gómez, E. Pérez, and T. A. Shaposhnikova, Asymptot. Anal. 80, 289–322 (2012).
N. Labani and C. Picard, in Recent Advances in Nonlinear Elliptic and Parabolic Problems, Pitman Res. Notes Math. Ser. 208, 294–305 (1989).
P. Lindqvist, Notes on the p-Laplace Equation, Report 102 (Univ. of Jyväskył, Jyväskył, 2006).
J. L. Lions, Quelques methods de resolution des problemes aux limites non lineires (Dunod, Paris, 1969).
M. Lobo, O. A. Oleinik, M. E. Pérez, and T. A. Shaposhnikova, Ann. Scuola Norm. Super. Pisa Cl. Sci. Ser. 4 25, 611–629 (1997).
M. Lobo, M. E. Pérez, V. V. Sukharev, and T. A. Shaposhnikova, Dokl. Math. 83, 34–38 (2011).
T. Mekkaoui and C. Picard, in Progress in Partial Differential Equations: The Metz Surveys 2, Pitman Res. Notes Math. Ser. 296, 185–193 (1993).
A. V. Podol’skii, Dokl. Math. 82, 942–945 (2010).
T. A. Shaposhnikova and A. V. Podolskii, Funct. Differ. Equations 19, 351–370 (2012).
Y. Wu and X. P. Xue, J. Math. Phys. 52, 093502 (2011).
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Published in Russian in Doklady Akademii Nauk, 2014, Vol. 454, No. 1, pp. 18–22.
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Gómez, D., Lobo, M., Pérez, E. et al. Homogenization for the p-Laplace operator and nonlinear Robin boundary conditions in perforated media along (n − 1)-dimensional manifolds. Dokl. Math. 89, 11–15 (2014). https://doi.org/10.1134/S1064562414010049
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DOI: https://doi.org/10.1134/S1064562414010049