A reiterated homogenization problem for the p-Laplacian equation in corrugated thin domains

被引：0

作者：

Nakasato, Jean Carlos ^{[1
,2
]}

Pereira, Marcone Correa ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Sao Paulo, Brazil

[2] Univ Hokkaido, Fac Sci, Dept Math, Sapporo, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 392卷

基金：

巴西圣保罗研究基金会;

关键词：

ASYMPTOTIC ANALYSIS; BOUNDARY;

D O I：

10.1016/j.jde.2024.02.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the asymptotic behavior of the solutions of the p -Laplacian equation with mixed homogeneous Neumann-Dirichlet boundary conditions. It is posed in a two-dimensional rough thin domain with two different composites periodically distributed. Each composite has its own periodicity and roughness order. Here, we obtain distinct homogenized limit equations which will depend on the relationship among the roughness and thickness orders of each one. (c) 2024 Elsevier Inc. All rights reserved.

引用

页码：165 / 208

页数：44

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