A. Schikorra

activity

20082026

most citedRegularity of n/2-harmonic maps into spheres

66 citations · 691 across the 59 of their papers we have counts for

collaborators

Showing 2023 · math.APShow all

3 papers · 2 filters

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

A fractional Willmore-type energy functional -- subcritical observations

Simon Blatt, Giovanni Giacomin, Julian Scheuer +1

We investigate surfaces with bounded L^p-norm of the fractional mean curvature, a quantity we shall refer to as fractional Willmore-type functional. In the subcritical case and und…

math.AP2023★ 6 cited

Regularizing properties of n-Laplace systems with antisymmetric potentials in Lorentz spaces

Dorian Martino, Armin Schikorra

We show continuity of solutions $u \in W^{1, n} (B^{n}, R^{N})$ to the system \[ -{\rm div} (|\nabla u|^{n-2} \nabla u) = Ω\cdot |\nabla u|^{n-2} \nabla u \] when $Ω$ is an $L^{n}$ …