Examples of $p$-harmonic maps

Khripunova Balci A, Behn L, Diening L, Storn J (2025)
arXiv:2502.12059.

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Abstract / Bemerkung
We construct explicit examples of $p$-harmonic maps $u:\mathbb{R}^n \to \mathbb{R}^N$. 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. To optimize our approach, we utilize solutions of the Hurwitz problem from algebra.
Erscheinungsjahr
2025
Zeitschriftentitel
arXiv:2502.12059
Page URI
https://pub.uni-bielefeld.de/record/3000895

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Khripunova Balci A, Behn L, Diening L, Storn J. Examples of $p$-harmonic maps. arXiv:2502.12059. 2025.
Khripunova Balci, A., Behn, L., Diening, L., & Storn, J. (2025). Examples of $p$-harmonic maps. arXiv:2502.12059. https://doi.org/10.48550/ARXIV.2502.12059
Khripunova Balci, Anna, Behn, Linus, Diening, Lars, and Storn, Johannes. 2025. “Examples of $p$-harmonic maps”. arXiv:2502.12059.
Khripunova Balci, A., Behn, L., Diening, L., and Storn, J. (2025). Examples of $p$-harmonic maps. arXiv:2502.12059.
Khripunova Balci, A., et al., 2025. Examples of $p$-harmonic maps. arXiv:2502.12059.
A. Khripunova Balci, et al., “Examples of $p$-harmonic maps”, arXiv:2502.12059, 2025.
Khripunova Balci, A., Behn, L., Diening, L., Storn, J.: Examples of $p$-harmonic maps. arXiv:2502.12059. (2025).
Khripunova Balci, Anna, Behn, Linus, Diening, Lars, and Storn, Johannes. “Examples of $p$-harmonic maps”. arXiv:2502.12059 (2025).
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