36 citations · 36 across the 8 of their papers we have counts for
7 papers · 1 filter
Failure of -Calderón-Zygmund estimates for the p-Laplace equation for small
Armin Schikorra
Let . For any small enough and for any there exists a Lipschitz function and a bounded vectorfield such that \[ \begin{cases} {\rm div}…
Obstacles for Sobolev-homeomorphisms with low rank -- pointwise a.e. vs distributional Jacobians
Woongbae Park, Armin Schikorra
We show that for any and there exist neither -Sobolev nor -Hölder homeomorphisms from the disk into …
On wave systems with antisymmetric potential in dimension d >= 4 and well-posedness for (half-)wave maps
Silvino Reyes Farina, Armin Schikorra
We prove a priori estimates for wave systems of the type \[ \partial_{tt} u - Δu = Ω\cdot du + F(u) \quad \text{in } \] where and is…
Convex minimizing curves of the scaling-invariant nonlocal Willmore energy
Giovanni Giacomin, Armin Schikorra
We consider the scaling-invariant nonlocal Willmore energy, defined via the nonlocal mean curvature by Caffarelli, Roquejoffre and Savin. Our main result is the existence of minimi…
Calderon-Zygmund theory for strongly coupled linear system of nonlocal equations with Holder-regular coefficient
Tadele Mengesha, Armin Schikorra, Adisak Seesanea +1
We extend the Calderón-Zygmund theory for nonlocal equations to strongly coupled system of linear nonlocal equations , where the operator $\mathcal{L}^{s…
Nonlocal Bounded Variations with Applications
Harbir Antil, Hugo Díaz, Tian Jing +1
Motivated by problems where jumps across lower dimensional subsets and sharp transitions across interfaces are of interest, this paper studies the properties of fractional bounded…