Journal of Convex Analysis 15 (2008), No. 3, 581--592
Copyright Heldermann Verlag 2008
Some Isoperimetric Inequalities with Application to the Stekloff Problem
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
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.
Keywords: Moments of inertia, Stekloff eigenvalues, isoperimetric inequalities.
MSC: 35P15, 52A40
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