The obstacle problem for a higher order fractional Laplacian

Donatella Danielli, Alaa Haj Ali, Arshak Petrosyan

In this paper, we consider the obstacle problem for the fractional Laplace operator $(-\Delta {)}^s$ in the Euclidian space ${\mathbb{R}}^n$ in the case where $1<s<2$. As first observed in \…