Katarzyna Mazowiecka

activity

20182026

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 9 of their papers we have counts for

collaborators

13 papers

math.AP2026

On minimizing $W^{s, 1/ s}$ -maps between circles

Dorian Martino, Katarzyna Mazowiecka, Armin Schikorra

For $s \in (1/4, 1)$ and any degree the only $W^{s, \frac{1}{s}}$ -minimizers for $S^{1} \to S^{1}$ maps are Blaschke products. This gives a resolution of Open Problems…

math.AP2026

Minimizing and non-minimizing degree one $W^{s, 1/ s}$ -harmonic maps between spheres

Dorian Martino, Katarzyna Mazowiecka, Armin Schikorra

We show that $i d : S^{1} \to S^{1}$ is \emph{not} a minimizing $W^{s, \frac{1}{s}}$ -harmonic map for $s \in (0, \frac{1}{8}$ ). On the other hand, for $s \in (\frac{1}{3},…

math.AP2026

Min-max $n$ -harmonic maps of degree 1 with free-boundary into $S^{n - 1}$ in almost round balls

Dorian Martino, Katarzyna Mazowiecka, Rémy Rodiac

Let $n \geq 3$ and let $Ω \subset R^{n}$ be a $C^{1}$ bounded domain which is diffeomorphic to a ball. We investigate here the problem of finding critical points of th…

math.AP2026

A remark on staircase laminates in restricted sets

Igor Buchowiec, Pholphum Kamthorntaksina, Katarzyna Mazowiecka +2

We slightly extend the convex integration via staircase laminate toolbox recently developed by Kleiner, Müller, Székelyhidi, and Xie. As an example we revisit the proof by Astala-F…

math.AP2026

Existence of nontrival $n$ -harmonic maps via min-max methods

Dorian Martino, Katarzyna Mazowiecka, Armin Schikorra

For any $n \geq 3$ and any closed manifold $N$ with $π_{n + k} (N) \neq = {0}$ for some $k \geq 0$ , we establish the existence of nontrivial $n$ -harmonic maps from…

math.AP2025

Existence of minimal maps of degree one in $W^{\frac{1}{p}, p} (S^{1}, S^{1})$ for $p \in [p^{'}, 2]$ , where $p^{'} \approx 1.13924$

Tomasz Kostrzewa, Katarzyna Mazowiecka

In this note, we show how the results of Mazowiecka--Schikorra, combined with those of Bourgain--Brezis--Mironescu, imply the existence of minimal maps of degree one in $ W^{\frac{…

On minimizing Ws,1/s-maps between circles

Minimizing and non-minimizing degree one Ws,1/s-harmonic maps between spheres

Min-max n-harmonic maps of degree 1 with free-boundary into Sn−1 in almost round balls

A remark on staircase laminates in restricted sets

Existence of nontrival n-harmonic maps via min-max methods

Existence of minimal maps of degree one in Wp1​,p(S1,S1) for p∈[p′,2], where p′≈1.13924

On minimizing $W^{s, 1/ s}$ -maps between circles

Minimizing and non-minimizing degree one $W^{s, 1/ s}$ -harmonic maps between spheres

Min-max $n$ -harmonic maps of degree 1 with free-boundary into $S^{n - 1}$ in almost round balls

Existence of nontrival $n$ -harmonic maps via min-max methods

Existence of minimal maps of degree one in $W^{\frac{1}{p}, p} (S^{1}, S^{1})$ for $p \in [p^{'}, 2]$ , where $p^{'} \approx 1.13924$