Examples of \({p}\)-Harmonic Maps

SIAM Journal on Mathematical Analysis 2026

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Authors: Anna Sergeevna Balci, Linus Behn, Lars Diening, Johannes Storn
DOI: 10.1137/25m1755539
Cited by: 2
References: 23

Abstract

Abstract. We construct explicit examples of [Formula: see text]-harmonic maps [Formula: see text]. These are more irregular than the previously known examples and thus provide new upper bounds for the regularity of [Formula: see text]-harmonic maps, including the case of [Formula: see text]-harmonic maps in the sense of Aronsson. To optimize our approach, we utilize solutions of the Hurwitz problem from algebra.

Fields of Study & Subjects

Holomorphic and Operator Theory Geometric Analysis and Curvature Flows Analytic and geometric function theory

Publication details

Journal / source
SIAM Journal on Mathematical Analysis
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Volume
58
Issue
1
Pages
260–275
Publication date
12 January 2026
Language
EN