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arXiv · 1803.11318

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

José Maria Arrieta·Jean Carlos Nakasato·Marcone Corrêa Pereira
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Abstract

In this work we apply the unfolding operator method to analyze the asymptotic behavior of the solutions of the $p$-Laplacian equation with Neumann boundary condition set in a bounded thin domain of the type $R^\varepsilon=\left\lbrace(x,y)\in\mathbb{R}^2:x\in(0,1)\mbox{ and }0 1$ representing respectively weak, resonant and high osillations at the top boundary. In the three cases we deduce the homogenized limit and obtain correctors.

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José Maria Arrieta, Jean Carlos Nakasato, Marcone Corrêa Pereira. 2018-03-30. The p-Laplacian equation in thin domains: The unfolding approach. https://doi.org/10.1016/j.jde.2020.12.004

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