66 citations · 691 across the 59 of their papers we have counts for
5 papers · 1 filter
Limits of conformal immersions under a bound on a fractional normal curvature quantity
Armin Schikorra
We consider limits of weakly converging -maps from a ball into which are conformal immersions. Under the assumption that a no…
A remark on -regularity for differential inequalities in viscosity sense
Armin Schikorra
We prove interior -regularity for solutions \[ - Λ\leq F(D^2 u) \leq Λ\] where is a constant and is fully nonlinear, 1-homogeneous, uniformly elliptic. The proof i…
On -regularity for critical points of a geometric obstacle-type problem
Sujin Khomrutai, Armin Schikorra
We consider critical points of the geometric obstacle problem on vectorial maps \[ \int_{\mathbb{B}^2} |\nabla u|^2 \quad \m…
On the size of the singular set of minimizing harmonic maps
Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra
We consider minimizing harmonic maps from into a closed Riemannian manifold and prove: (1) an extension to of Almgren and Lieb'…
Hölder-Topology of the Heisenberg group
Armin Schikorra
The Heisenberg groups are examples of sub-Riemannian manifolds homeomorphic, but not diffeomorphic to the Euclidean space. Their metric is derived from curves which are only allowe…