On p-harmonic self-maps of spheres

In this manuscript we study rotationally p-harmonic maps between spheres. We prove that for (p) given, there exist infinitely many p-harmonic self-maps of [Formula: see text] for each [Formula: see text] with [Formula: see text] . In the case of the identity map of [Formula: see text] we explicitly...

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Detalles Bibliográficos
Autores principales: Branding, Volker, Siffert, Anna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10126078/
https://www.ncbi.nlm.nih.gov/pubmed/37122481
http://dx.doi.org/10.1007/s00526-023-02481-y
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author Branding, Volker
Siffert, Anna
author_facet Branding, Volker
Siffert, Anna
author_sort Branding, Volker
collection PubMed
description In this manuscript we study rotationally p-harmonic maps between spheres. We prove that for (p) given, there exist infinitely many p-harmonic self-maps of [Formula: see text] for each [Formula: see text] with [Formula: see text] . In the case of the identity map of [Formula: see text] we explicitly determine the spectrum of the corresponding Jacobi operator and show that for [Formula: see text] , the identity map of [Formula: see text] is equivariantly stable when interpreted as a p-harmonic self-map of [Formula: see text] .
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spelling pubmed-101260782023-04-26 On p-harmonic self-maps of spheres Branding, Volker Siffert, Anna Calc Var Partial Differ Equ Article In this manuscript we study rotationally p-harmonic maps between spheres. We prove that for (p) given, there exist infinitely many p-harmonic self-maps of [Formula: see text] for each [Formula: see text] with [Formula: see text] . In the case of the identity map of [Formula: see text] we explicitly determine the spectrum of the corresponding Jacobi operator and show that for [Formula: see text] , the identity map of [Formula: see text] is equivariantly stable when interpreted as a p-harmonic self-map of [Formula: see text] . Springer Berlin Heidelberg 2023-04-24 2023 /pmc/articles/PMC10126078/ /pubmed/37122481 http://dx.doi.org/10.1007/s00526-023-02481-y Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Branding, Volker
Siffert, Anna
On p-harmonic self-maps of spheres
title On p-harmonic self-maps of spheres
title_full On p-harmonic self-maps of spheres
title_fullStr On p-harmonic self-maps of spheres
title_full_unstemmed On p-harmonic self-maps of spheres
title_short On p-harmonic self-maps of spheres
title_sort on p-harmonic self-maps of spheres
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10126078/
https://www.ncbi.nlm.nih.gov/pubmed/37122481
http://dx.doi.org/10.1007/s00526-023-02481-y
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