Symmetry via antisymmetric maximum principles in nonlocal problems of variable order

Sven Jarohs, Tobias Weth

We consider the nonlinear problem \[(P) \;\; I u=f(x,u) \text{ in $\Omega$,} \;\; u=0 \text{ on ${\mathbb{R}}^N\setminus \Omega$ }\] in an open bounded set $\Omega \subset {\mathbb{R}}^N$, where $I$…