66 citations · 691 across the 59 of their papers we have counts for
6 papers · 1 filter
Higher Hölder regularity for the fractional Laplacian in the superquadratic case
Lorenzo Brasco, Erik Lindgren, Armin Schikorra
We prove higher Hölder regularity for solutions of equations involving the fractional Laplacian of order , when and . In particular, we provide an explicit H…
On regularity theory for n/p-harmonic maps into manifolds
Francesca Da Lio, Armin Schikorra
In this paper we continue the investigation of the regularity of the so-called weak -harmonic maps in the critical case. These are critical points of the following non…
Epsilon-regularity for p-harmonic maps at a free boundary on a sphere
Katarzyna Mazowiecka, Rémy Rodiac, Armin Schikorra
We prove an -regularity theorem for vector-valued p-harmonic maps, which are critical with respect to a partially free boundary condition, namely that they map the boundary into…
Boundary regularity for conformally invariant variational problems with Neumann data
Armin Schikorra
We study boundary regularity of maps from two-dimensional domains into manifolds which are critical with respect to a generic conformally invariant variational functional and which…
On energy-critical half-wave maps into
Enno Lenzmann, Armin Schikorra
We consider the energy-critical half-wave maps equation for $\mathbf{u} : [0,T) \times \mathbb{R} \to \mathbb{…
Fractional div-curl quantities and applications to nonlocal geometric equations
Katarzyna Mazowiecka, Armin Schikorra
We investigate a fractional notion of gradient and divergence operator. We generalize the div-curl estimate by Coifman-Lions-Meyer-Semmes to fractional div-curl quantities, obtaini…