Local and global minimality results for a nonlocal isoperimetric problem on R^N

Marco Bonacini, Riccardo Cristoferi

We consider a nonlocal isoperimetric problem defined in the whole space ${\mathbb{R}}^N$, whose nonlocal part is given by a Riesz potential with exponent $\alpha \in (0,N-1)$. We show that critica…