Armin Schikorra

activity

20222026

most citedOn uniqueness for half-wave maps in dimension d >= 3

4 citations · 4 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2026

Global existence of the $s$ -Schrödinger maps in $n \geq 5$

Ahmed Dughayshim, Armin Schikorra

We study the $s$ -Schrödinger map equation \[ \begin{cases} \partial_t u = -u \wedge (-Δ)^s u \quad \text{on } \mathbb{R}^n \times \mathbb{R}\\ u: \mathbb{R}^n \times \mathbb{R} \to…

math.AP2026

Non-Regularizing properties of $n$ -Laplace systems with antisymmetric potentials in critical Lebesgue spaces

Dorian Martino, Armin Schikorra

For every $n \geq 3$ we construct a bounded discontinuous map $u \in W^{1, n} (B^{n}, R^{n + 2})$ solving an $n$ -Laplace system with an antisymmetric potential $Ω \in L^{n}$ .…

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.FA2025

Non-improvability of sharp endpoint estimates

Zdeněk Mihula, Luboš Pick, Armin Schikorra

For an integer $n$ and the parameter $γ \in (0, n)$ , the Riesz potential $I_{γ}$ is known to take boundedly $L^{1} (R^{n})$ into $L^{\frac{n}{n - γ}, \infty} (R^{n})$ , and also t…

math.AP2025

Local well-posedness for cubic fractional Schrödinger equations with derivatives on the right-hand side

Ahmed Dughayshim, Silvino Reyes Farina, Armin Schikorra

For $s \in (\frac{1}{2}, 1]$ we investigate well-posedness of the equation \[ \left ( i \partial_t + (-Δ)^{s} \right ) u = \left (|D|^{1-2s} |u|^2 \right)\ |D|^{2s-1} u \] under sma…

math.AP2022★ 4 cited

On uniqueness for half-wave maps in dimension d >= 3

Eugene Eyeson, Silvino Reyes Farina, Armin Schikorra

Extending an argument by Shatah and Struwe we obtain uniqueness for solutions of the half-wave map equation in dimension $d \geq 3$ in the natural energy class.

Global existence of the s-Schrödinger maps in n≥5

Non-Regularizing properties of n-Laplace systems with antisymmetric potentials in critical Lebesgue spaces

A remark on staircase laminates in restricted sets

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

Non-improvability of sharp endpoint estimates

Local well-posedness for cubic fractional Schrödinger equations with derivatives on the right-hand side

On uniqueness for half-wave maps in dimension d >= 3

Global existence of the $s$ -Schrödinger maps in $n \geq 5$

Non-Regularizing properties of $n$ -Laplace systems with antisymmetric potentials in critical Lebesgue spaces

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