| Texto completo | |
| Autor(es): |
Arrieta, Jose M.
;
Carlos Nakasato, Jean
;
Correa Pereira, Marcone
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Differential Equations; v. 274, p. 34-pg., 2021-02-15. |
| 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 |