DOI: 10.68381/jca15041 ISSN: 0944-6532

Some Isoperimetric Inequalities with Application to the Stekloff Problem

Antoine Henrot, Gérard A. Philippin, A. Safoui

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 R N
.