M. Mi'skiewicz

most citedOn the size of the singular set of minimizing harmonic maps into the 2-sphere in dimension four and higher

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AP2019★ 1 cited

On the size of the singular set of minimizing harmonic maps into the 2-sphere in dimension four and higher

Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra

We extend the results of our recent preprint [arXiv: 1811.00515] into higher dimensions $n \geq 4$ . For minimizing harmonic maps $u \in W^{1, 2} (Ω, S^{2})$ from $n$ -dimensional…

math.AP2018

On the size of the singular set of minimizing harmonic maps

Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra

We consider minimizing harmonic maps $u$ from $Ω \subset R^{n}$ into a closed Riemannian manifold $N$ and prove: (1) an extension to $n \geq 4$ of Almgren and Lieb'…

math.AP2018

On Hölder regularity of the singular set of energy minimizing harmonic maps into closed manifolds

Michał Miśkiewicz

Energy minimizing harmonic maps between manifolds are known to be smooth outside a rectifiable set of codimension $3$ , called the singular set. The possibility that this set is not…