Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 228, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2022.113182
Keywords
Nonlinear homogenization; Quasilinear elliptic PDEs; Homogenization with defects
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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.
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.
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