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arXiv · 2208.00705

On p-harmonic self-maps of spheres

Volker Branding·Anna Siffert
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Abstract

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

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Volker Branding, Anna Siffert. 2022-08-01. On p-harmonic self-maps of spheres. https://arxiv.org/abs/2208.00705

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