Skip to main content
SpringerLink
Log in

Sur la première fonction propre d'une membrane: une extension àN dimensions de l'inégalité isopérimétrique de Payne-Rayner

  • Communications Brères
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Résumé

On donne une généralisation àN dimensions de l'inégalité de Payne-Rayner [2], plus simple que [3].

Summary

We give a generalization toN dimensions of the Payne-Rayner inequality [2], simpler than [3].

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Bibliographie

  1. M.-Th. Kohler-Jobin, Une propriété de monotonie isopérimétrique qui contient plusieurs théorèmes classiques. C.R. Acad. Sci. Paris284, Série A, 917–920 (1977).

    Google Scholar 

  2. L. E. Payne etM. E. Rayner,An Isoperimetric Inequality for the First Eigenfunction in the Fixed Membrane Problem, Z. Angew. Math. Phys.23, 13–15 (1972).

    Google Scholar 

  3. L. E. Payne etM. E. Rayner, Some Isoperimetric Norm Bounds for Solutions of the Helmholtz Equation, Z. Angew. Math. Phys.24, 105–110 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ecole polytechnique fédérale, Zurich

    Marie-Thérèse Kohler-Jobin

Authors
  1. Marie-Thérèse Kohler-Jobin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kohler-Jobin, MT. Sur la première fonction propre d'une membrane: une extension àN dimensions de l'inégalité isopérimétrique de Payne-Rayner. Journal of Applied Mathematics and Physics (ZAMP) 28, 1137–1140 (1977). https://doi.org/10.1007/BF01601680

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01601680

Search

Navigation