66 citations · 691 across the 59 of their papers we have counts for
6 papers · 1 filter
Calderon-Zygmund theory for non-convolution type nonlocal equations with continuous coefficient
Mouhamed Moustapha Fall, Tadele Mengesha, Armin Schikorra +1
Given , and , we establish interior Calderon-Zygmund estimates for solutions of nonlocal equations of the form \[ \int_Ω \int_…
Bourgain-Brezis-Mironescu Convergence via Triebel-Lizorkin Spaces
Denis Brazke, Armin Schikorra, Po-Lam Yung
We study a convergence result of Bourgain--Brezis--Mironescu (BBM) using Triebel-Lizorkin spaces. It is well known that as spaces , and $H^{1,p} = F^{1}_{p,2…
Scale-invariant tangent-point energies for knots
Simon Blatt, Philipp Reiter, Armin Schikorra +1
We investigate minimizers and critical points for scale-invariant tangent-point energies of closed curves. We show that a) minimizing sequences in ambient isotopy…
Approximation of fractional harmonic maps
Harbir Antil, Sören Bartels, Armin Schikorra
This paper addresses the approximation of fractional harmonic maps. Besides a unit-length constraint, one has to tackle the difficulty of nonlocality. We establish weak compactness…
Fractional Sobolev isometric immersions of planar domains
Siran Li, Mohammad Reza Pakzad, Armin Schikorra
We discuss regularity and developability of isometric immersions of flat domains into enjoying a local fractional Sobolev regularity for $2/3…
A fractional version of Rivière's GL(N)-gauge
Francesca Da Lio, Katarzyna Mazowiecka, Armin Schikorra
We prove that for antisymmetric vectorfield with small -norm there exists a gauge such that ${\rm div}_{\frac12}…