Katarzyna Mazowiecka

activity

20172026

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 15 of their papers we have counts for

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math.AP2023

s-stability for W^{s,n/s}-harmonic maps in homotopy groups

Katarzyna Mazowiecka, Armin Schikorra

We study $s$ -dependence for minimizing $W^{s, n / s}$ -harmonic maps $u : S^{n} \to S^{ℓ}$ in homotopy classes. Sacks--Uhlenbeck theory shows that, for each $s$ , m…

math.AP2023

Regularity of minimizing $p$ -harmonic maps into spheres and sharp Kato inequality

Katarzyna Mazowiecka, Michał Miśkiewicz

We study regularity of minimizing $p$ -harmonic maps $u : B^{3} \to S^{3}$ for $p$ in the interval $[2, 3]$ . For a long time, regularity was known only for $p = 3$ (essenti…

s-stability for W^{s,n/s}-harmonic maps in homotopy groups

Regularity of minimizing p-harmonic maps into spheres and sharp Kato inequality

Regularity of minimizing $p$ -harmonic maps into spheres and sharp Kato inequality