The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary

被引：0

作者：

Nogueira, Ariadne ^{[1
]}

Nakasato, Jean Carlos ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat Aplicada, Rua Matao 1010, Sao Paulo, SP, Brazil

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2020年 / 199卷 / 05期

关键词：

p-Laplacian; Neumann boundary condition; Thin domains; Homogenization; SEMILINEAR ELLIPTIC-EQUATIONS; HOMOGENIZATION;

D O I：

10.1007/s10231-020-00943-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we use reiterated homogenization and unfolding operator approach to study the asymptotic behavior of the solutions of the p-Laplacian equation with Neumann boundary conditions set in a rough thin domain with concentrated terms on the boundary. We study weak, resonant and high roughness, respectively. In the three cases, we deduce the effective equation capturing the dependence on the geometry of the thin channel and the neighborhood where the concentrations take place.

引用

页码：1789 / 1813

页数：25

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