Asymptotic behavior for the radial eigenvalues of p-Laplacian in certain annular domains

2017/05/15 by Anderson L. A. de Araújo, de Araujo, Anderson L. A.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1705.05182

openalex publication_date 2017/05/15 · openalex created_date 2017/05/26 · openalex updated_date 2026/07/28

Abstract

In this paper we prove an asymptotic behavior for the radial eigenvalues to the Dirichlet p-Laplacian problem -Δ_p u = λ |u|^p-2u in Ω, u=0 on ∂Ω, where Ω is an annular domain Ω=Ω_R,R in ℝ^N.

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