Ciarlet Nečas condition in fractional Sobolev spaces

Stanislav Hencl, Jaromír Mielec, Kaushik Mohanta

Let $s\in (\frac{n}{n+1},1)$, $\hat{I}\text{c◯}\subset {\mathbb{R}}^n$ be an open set and let $f\in W^{s,n/s}(\hat{I}\text{c◯},{\mathbb{R}}^n)$ be mapping with positive distributional Jacobian ${\mathcal{J}}_f>0$ whi…