66 citations · 691 across the 59 of their papers we have counts for
5 papers · 2 filters
Weak Limits of Fractional Sobolev Homeomorphisms are Almost Injective: A Note
Armin Schikorra, James M. Scott
Let be an open set and be a sequence of homeomorphisms weakly converging to . It is known t…
On the Calderon-Zygmund property of Riesz-transform type operators arising in nonlocal equations
Sasikarn Yeepo, Wicharn Lewkeeratiyutkul, Sujin Khomrutai +1
We show that the operator \[ T_{K,s_1,s_2}f(z) := \int_{\mathbb{R}^n} A_{K,s_1,s_2}(z_1,z_2) f(z_2)\, dz_2 \] is a Calderon-Zygmund operator. Here for $K \in L^\infty(\mathbb{R}^n…
Minimal -harmonic maps in homotopy classes
Katarzyna Mazowiecka, Armin Schikorra
Let a closed -dimensional manifold, be a closed manifold, and for . We extend the monumen…
On a Fractional Version of a Murat Compactness Result and Applications
Harbir Antil, Carlos N. Rautenberg, Armin Schikorra
The paper provides an extension, to fractional order Sobolev spaces, of the classical result of Murat and Brezis which states that the positive cone of elements in comp…
Calderon-Zygmund type estimates for nonlocal PDE with Hölder continuous kernel
Tadele Mengesha, Armin Schikorra, Sasikarn Yeepo
We study interior -regularity theory, also known as Calderon-Zygmund theory, of the equation \[ \int_{\mathbb{R}^n} \int_{\mathbb{R}^n} \frac{K(x,y)\ (u(x)-u(y))\, (φ(x)-φ(y))…