On a Class of Nonlocal Obstacle Type Problems Related to the Distributional Riesz Fractional Derivative

Catharine W. K. Lo, José Francisco Rodrigues

In this work, we consider the nonlocal obstacle problem with a given obstacle $\psi$ in a bounded Lipschitz domain $\Omega$ in ${\mathbb{R}}^d$, such that $\mathbb{K}_ψ^s=\{v\in H^s_0(Ω):v…