$s$-harmonic functions in the small order limit

Sven Jarohs, Abhrojyoti Sen, Tobias Weth

We study families $u_s$ of functions satisfying the equations $(-\Delta {)}^s{u}_s=0$, $s\in (0,1)$ in a smooth bounded open set $\Omega \subset {\mathbb{R}}^N$. The main purpose of this paper is…