Symmetry of solutions to nonlocal nonlinear boundary value problems in radial sets

Sven Jarohs

For open radial sets $\Omega \subset {\mathbb{R}}^N$, $N\ge 2$ we consider the nonlinear problem \[ (P)\quad Iu=f(|x|,u) \quad\text{in $\Omega$,}\quad u\equiv 0\quad \text{on $\mathbb{R}^N\set…