Homogenization of the p-Laplace equation in a periodic setting with a local defect

In this paper, we consider the homogenization of the p-Laplace equation with a periodic coefficient that is perturbed by a local defect. This setting has been introduced in Blanc et al. (2012, 2015) in the linear setting p = 2. We construct the correctors and we derive convergence results to the homogenized solution in the case p > 2 under the assumption that the periodic correctors are non degenerate.(c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

In this paper, the homogenization of the p-Laplace equation with a periodic coefficient perturbed by a local defect is considered. The correctors are constructed and convergence results to the homogenized solution are derived in the case p > 2, assuming that the periodic correctors are non-degenerate. (c) 2022 Elsevier Ltd. All rights reserved.