Pré-Publication, Document De Travail Année : 2022

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

Sylvain Wolf
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Résumé

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.

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hal-03685052 , version 1 (03-06-2022)

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