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

DOI10.1016/J.NA.2022.113182arXiv2206.03071MaRDI QIDQ6401327

Publication date: 7 June 2022

Abstract: 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.

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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