The p-Laplacian equation in thin domains: The unfolding approach

Autor(es)

Arrieta, Jose M. ^{[1, 2]} ; Carlos Nakasato, Jean ^[3] ; Correa Pereira, Marcone ^[3]

Afiliação do(s) autor(es)

^[1] Univ Complutense Madrid, Dept Anal Mat & Matemat Aplicada, Madrid 28040 - Spain

^[2] ICMAT CSIC UAM UC3M UCM, C Nicolas Cabrera 13-15, Madrid 28049 - Spain

^[3] Univ Sao Paulo, Dept Matemat Aplicada, IME, Rua Matao 1010, Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 274, p. 1-34, FEB 15 2021.
• Citações Web of Science: 0

Resumo

In this work we apply the so called Unfolding Operator Method to analyze the asymptotic behavior of the solutions of the p-Laplacian equation with Neumann boundary condition in a bounded thin domain of the type R-epsilon = [(x, y) is an element of R-2 : x is an element of (0, 1) and 0 < y < epsilon g (x/epsilon(alpha))] where g is a positive periodic function. We study the three cases 0 < alpha < 1, alpha = 1 and alpha > 1 representing respectively weak, resonant and high oscillations at the top boundary. In the three cases we deduce the homogenized limit and obtain correctors. (C) 2020 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 20/04813-0 - Análise assintótica e qualitativa de equações integro-diferenciais
• Beneficiário: Marcone Corrêa Pereira
• Modalidade de apoio: Auxílio à Pesquisa - Regular