The p-Laplacian in thin channels with locally periodic rough boundaries

2020/12/14 by Jean Carlos Nakasato, Nakasato, J. C., Marsel C. Pereira +1
Computer Science · Mathematics · #35B25 #35B40 #35J92 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2012.07650

openalex publication_date 2020/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we analyze the asymptotic behavior of the solutions of the p-Laplacian equation with homogeneous Neumann boundary conditions set in bounded thin domains as R^ε=\lbrace(x,y)∈ℝ²:x∈(0,1) and 0

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