Bibliographic Details
| Title: |
Examples of \({p}\)-Harmonic Maps. |
| Authors: |
Balci, Anna1 (AUTHOR) akhripun@math.uni-bielefeld.de, Behn, Linus1 (AUTHOR) linus.behn@math.uni-bielefeld.de, Diening, Lars1 (AUTHOR) lars.diening@uni-bielefeld.de, Storn, Johannes2 (AUTHOR) johannes.storn@uni-leipzig.de |
| Source: |
SIAM Journal on Mathematical Analysis. 2026, Vol. 58 Issue 1, p260-275. 16p. |
| Subjects: |
Harmonic maps, Hurwitz polynomials, Mathematicians, Differentiable functions |
| Abstract: |
We construct explicit examples of \(p\) -harmonic maps \(u\colon \mathbb{R}^n \to \mathbb{R}^N\). These are more irregular than the previously known examples and thus provide new upper bounds for the regularity of \(p\) -harmonic maps, including the case of \(\infty\) -harmonic maps in the sense of Aronsson. To optimize our approach, we utilize solutions of the Hurwitz problem from algebra. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
