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On p-harmonic self-maps of spheres | | Volker Branding
; Anna Siffert
; | | Date: |
1 Aug 2022 | | Abstract: | In this manuscript we study rotationally $p$-harmonic maps between spheres.
We prove that for $pinmathbb{N}$ given, there exist infinitely many
$p$-harmonic self-maps of $mathbb{S}^m$ for each $minmathbb{N}$ with $p<m<
2+p+2sqrt{p}$. In the case of the identity map of $mathbb{S}^m$ we explicitly
determine the spectrum of the corresponding Jacobi operator and show that for
$p>m$, the identity map of $mathbb{S}^m$ is stable when interpreted as a
$p$-harmonic self-map of $mathbb{S}^m$. | | Source: | arXiv, 2208.00705 | | Services: | Forum | Review | PDF | Favorites | |
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