The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary
Analysis of PDEs
2020-11-02 v1
Abstract
In this work we use reiterated homogenization and unfolding operator approach to study the asymptotic behavior of the solutions of the -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.
Keywords
Cite
@article{arxiv.1911.10263,
title = {The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary},
author = {Ariadne Nogueira and Jean Carlos Nakasato},
journal= {arXiv preprint arXiv:1911.10263},
year = {2020}
}