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

Sylvain Wolf (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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 [6, 7] 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.

Domaines: Equations aux dérivées partielles [math.AP]

Sylvain Wolf. Homogenization of the p−Laplace equation in a periodic setting with a local defect. 2022. ⟨hal-03685052⟩