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\mathbb{R}^N.

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 Vandœuvre-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

References

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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. https://doi.org/10.68381/jca15041

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press LLC.