Some isoperimetric inequalities with application to the Stekloff problem

Antoine Henrot, Gérard A. Philippin, Abdesselam Safoui

Published 2008-03-29Version 1

In this paper we establish isoperimetric inequalities for the product of some moments of inertia. As an application, we obtain an isoperimetric inequality for the product of the $N$ first nonzero eigenvalues of the Stekloff problem in $\mathbb{R}^N$.