On p-harmonic self-maps of spheres

2022/08/01 by Volker Branding, Anna Siffert, Branding, Volker +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2208.00705

openalex publication_date 2022/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this manuscript we study rotationally p-harmonic maps between spheres. We prove that for p∈ℕ given, there exist infinitely many p-harmonic self-maps of \mathbbS^m for each m∈ℕ with pm, the identity map of \mathbbS^m is stable when interpreted as a p-harmonic self-map of \mathbbS^m.

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• On the stability of the generalized equator map

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