Boundary concentration phenomena for an anisotropic Neumann problem in ℝ²

2021/10/26 by Yibin Zhang, Zhang, Yibin
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2110.13378

openalex publication_date 2021/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a smooth bounded domain Ω in ℝ², we study the following anisotropic Neumann problem \begincases -∇(a(x)∇ u)+a(x)u=λa(x) u^p-1e^up, ugt;0 \textrmin Ω,
(∂ u)/(∂ν)=0 \textrmon ∂Ω, \endcases where λ>0 is a small parameter, 0

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