On isoperimetric inequalities with respect to infinite measures

F. Brock, A. Mercaldo, M. R. Posteraro

We study isoperimetric problems with respect to infinite measures on $R^n$. In the case of the measure $\mu$ defined by $d\mu =e^{c|x{|}^2}dx$, $c\ge 0$, we prove that, among all sets…