Some isoperimetric inequalities on ${\mathbb{R}}^N$ with respect to weights $|x{|}^{\alpha }$

A. Alvino, F. Brock, F. Chiacchio +2

We solve a class of isoperimetric problems on ${\mathbb{R}}^N$ with respect to weights that are powers of the distance to the origin. For instance we show that if $k\in [0,1]$, then…