Some Isoperimetric Inequalities with Application to the Stekloff Problem

Antoine Henrot; Gérard A. Philippin; A. Safoui

Abstract

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 RN.

Author information

Contact details are reproduced from the original publication and may be historical.

Antoine Henrot

Institut Élie Cartan, UMR7502 - CNRS - INRIA, Université de Nancy, BP 239, 54506 Vandoeuvre-lès-Nancy, France

antoine.henrot@iecn.u-nancy.fr

Gérard A. Philippin

Dép. de Mathématiques et de Statistique, Université Laval, Sainte-Foy, Québec, Canada G1K 7P4

gphilip@mat.ulaval.ca

A. Safoui

Dép. de Mathématiques, Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech, Morocco

safoui@ucam.ac.ma

Keywords

Moments of inertia
Stekloff eigenvalues
isoperimetric inequalities

Mathematics Subject Classification

35P15, 52A40

Suggested citation

A. Henrot, G. A. Philippin, A. Safoui. “Some Isoperimetric Inequalities with Application to the Stekloff Problem.” Journal of Convex Analysis 15 (2008), No. 3, 581–592.