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 2018 · math.APShow all

4 papers · 2 filters

math.AP2018

Limits of conformal immersions under a bound on a fractional normal curvature quantity

Armin Schikorra

We consider limits of weakly converging $W^{1, 2}$ -maps $Φ_{k}$ from a ball $B \subset R^{2}$ into $R^{3}$ which are conformal immersions. Under the assumption that a no…

math.AP2018

A remark on $C^{1, α}$ -regularity for differential inequalities in viscosity sense

Armin Schikorra

We prove interior $C^{1, α}$ -regularity for solutions \[ - Λ\leq F(D^2 u) \leq Λ\] where $Λ$ is a constant and $F$ is fully nonlinear, 1-homogeneous, uniformly elliptic. The proof i…

math.AP2018

On $C^{1, α}$ -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 $u : B^{2} \subset R^{2} \to R^{N}$ \[ \int_{\mathbb{B}^2} |\nabla u|^2 \quad \m…

math.AP2018★ 1 cited

On the size of the singular set of minimizing harmonic maps

Katarzyna Mazowiecka, Michał Miśkiewicz, Armin Schikorra

We consider minimizing harmonic maps $u$ from $Ω \subset R^{n}$ into a closed Riemannian manifold $N$ and prove: (1) an extension to $n \geq 4$ of Almgren and Lieb'…

Limits of conformal immersions under a bound on a fractional normal curvature quantity

A remark on C1,α-regularity for differential inequalities in viscosity sense

On C1,α-regularity for critical points of a geometric obstacle-type problem

On the size of the singular set of minimizing harmonic maps

A remark on $C^{1, α}$ -regularity for differential inequalities in viscosity sense

On $C^{1, α}$ -regularity for critical points of a geometric obstacle-type problem