Monotonicity of solutions for some nonlocal elliptic problems in half-spaces

B. Barrios, L. Del Pezzo, J. Garcia-Melian +1

In this paper we consider classical solutions $u$ of the semilinear fractional problem $(-\Delta {)}^{s}u=f(u)$ in ${\mathbb{R}}_{+}^N$ with $u=0$ in ${\mathbb{R}}^N\setminus {\mathbb{R}}_{+}^N$,…