Uniqueness and nondegeneracy of sign-changing radial solutions to an almost critical elliptic problem

2015/10/15 by Weiwei Ao, Juncheng Wei, Ao, Weiwei +3
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1510.04678

openalex publication_date 2015/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study sign-changing radial solutions for the following semi-linear elliptic equation Δu-u+|u|^p-1u=0 \rmin ℝ^N, u∈ H¹(ℝ^N), where 1

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