66 citations · 691 across the 59 of their papers we have counts for
8 papers · 1 filter
Partial regularity for fractional harmonic maps into spheres
Vincent Millot, Marc Pegon, Armin Schikorra
This article addresses the regularity issue for stationary or minimizing fractional harmonic maps into spheres of order in arbitrary dimensions. It is shown that such f…
On symmetry of traveling solitary waves for dispersion generalized NLS
Lars Bugiera, Enno Lenzmann, Armin Schikorra +1
We consider dispersion generalized nonlinear Schrödinger equations (NLS) of the form , where denotes a (pseudo)-differential operator…
-maps with positive distributional Jacobians
Siran Li, Armin Schikorra
We extend the well-known result that any , with strictly positive Jacobian is actually continuous: it is also true for fracti…
On O'hara knot energies I: Regularity for critical knots
Simon Blatt, Philipp Reiter, Armin Schikorra
We develop a regularity theory for extremal knots of scale invariant knot energies defined by J. O'hara in 1991. This class contains as a special case the Möbius energy. For the Mö…
An estimate of the Hopf degree of fractional Sobolev mappings
Armin Schikorra, Jean Van Schaftingen
We estimate the Hopf degree for smooth maps from to in the fractional Sobolev space. Namely we show that for …
On BMO and Carleson measures on Riemannian manifolds
Denis Brazke, Armin Schikorra, Yannick Sire
Let be a Riemannian -manifold with a metric such that the manifold is Ahlfors-regular. We also assume either non-negative Ricci curvature, or that the Ricci curvat…