Homogenization of variational inequalities of Signorini type for the  p -Laplacian in perforated domains when  p  ∈ (1, 2)

J. I. Díaz; D. Gómez-Castro; A. V. Podolskiy; T. A. Shaposhnikova

doi:10.1134/S1064562417020132

Homogenization of variational inequalities of Signorini type for the p-Laplacian in perforated domains when p ∈ (1, 2)

Authors: Díaz J.I.¹, Gómez-Castro D.¹, Podolskiy A.V.², Shaposhnikova T.A.²
Affiliations:
1. Instituto de Matemática Interdisciplinar and Dept. Mat. Aplicada
2. Faculty of Mechanics and Mathematics
Issue: Vol 95, No 2 (2017)
Pages: 151-156
Section: Mathematics
URL: https://journals.rcsi.science/1064-5624/article/view/224922
DOI: https://doi.org/10.1134/S1064562417020132
ID: 224922

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Abstract

The asymptotic behavior, as ε → 0, of the solution uε to a variational inequality with nonlinear constraints for the p-Laplacian in an ε-periodically perforated domain when p ∈ (1, 2) is studied.