References
W. Jäger, M. Neuss-Radu, and T. A. Shaposhnikova, Nonlinear Anal. Real World Appl. 15, 367–380 (2014).
E. Acerbi, V. Chiado Piat, G. Dal Maso, and D. Percivale, Nonlinear Anal. 18, 481–496 (1992).
D. Gómez, M. Lobo, E. Pérez, A. V. Podolskiy, and T. A. Shaposhnikova, Dokl. Math. 89 (1), 11–15 (2014).
M. N. Zubova and T. A. Shaposhnikova, Differ. Equations 47 (1), 78–90 (2011).
A. V. Podol’skii, Dokl. Math. 82 (3), 942–945 (2010).
T. Shaposhnikova and A. Podolskiy, Funct. Differ. Equations 19 (3/4), 351–370 (2012).
L. Tang, Commun. Partial Differ. Equations 37 (3), 538–559 (2012).
W. Jäger, M. Neuss-Radu, and T. A. Shaposhnikova, Dokl. Math. 83 (2), 204–208 (2011).
M. N. Zubova and T. A. Shaposhnikova, Funct. Differ. Equations 12 (3/4), 463–473 (2005).
I. Ekeland and R. Temam, Convex Analysis and Variational Problems (North-Holland, Amsterdam, 1976; Mir, Moscow, 1979).
D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications (Academic, New York, 1980; Mir, Moscow, 1983).
G. V. Sandrakov, Sb. Math. 196 (4), 541–560 (2005).
N. Labani and C. Picard, Pitman Res. Notes Math. 208, 294–305 (1989).
A. Yu. Vorob’ev and T. A. Shaposhnikova, Differ. Equations 39 (3), 387–396 (2003).
D. Gómez, M. Lobo, M. E. Pérez, and T. A. Shaposhnikova, Appl. Anal. 92 (2), 218–237 (2013).
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Published in Russian in Doklady Akademii Nauk, 2015, Vol. 463, No. 3, pp. 255–260.
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Gómez, D., Pérez, M.E., Podolskiy, A.V. et al. Homogenization for the p-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical Case. Dokl. Math. 92, 433–438 (2015). https://doi.org/10.1134/S1064562415040110
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DOI: https://doi.org/10.1134/S1064562415040110