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Majorations de constantes de Steklov

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Summary

Bounds for Steklov constants are given. One considers the Laplacian operator and the typical operator in elasticity. Results are obtained through bounds of Poincaré constants.

Résumé

Des majorations pour des constantes de Steklov sont établies. Sont considérés l'opérateur laplacien et l'opérateur type de l'élasticité. La méthode utilise comme intermédiaire des majorations de constantes de Poincaré.

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Bibliographie

  1. J. H. Bramble etL. E. Payne,Bounds in the Neumann Problem for Second Order Uniformly Elliptic Operators, Pacific J. Math.12, 823–833 (1962).

    Google Scholar 

  2. J. H. Bramble etL. E. Payne,Some Inequalities for Vector Functions with Applications in Elasticity, Arch. Rat. Mech. Anal.11, 16–26 (1962).

    Google Scholar 

  3. J. Hersch etL. E. Payne,Extremal Principles and Isoperimetric Inequalities for some Mixed Problems of Stekloffs Type, Z. angew. Math. Phys.19, 802–817 (1968).

    Google Scholar 

  4. J. R. Kuttler etV. G. Sigillito,Inequalities for Membrane and Stekloff Eigenvalues, J. Math. Anal. Appl.23, 148–160 (1968).

    Google Scholar 

  5. J. R. Kuttler etV. G. Sigillito,Lower Bounds for Stekloff and Free Membrane Eigenvalues, SIAM Rev.10, no 3, 368–370 (1968).

    Google Scholar 

  6. J. R. Kuttler etV. G. Sigillito,An Inequality for a Stekloff Eigenvalue by the Method of Defect, Proc. Amer. Math. Soc.20, 357–360 (1969).

    Google Scholar 

  7. J. Ladevèze etP. Ladevèze,Majorations de la constante de Poincaré relative au problème de la membrane pour les domaines fortement étoilés (à paraître).

  8. J. Ladevèze etP. Ladevèze,Majorations de la constante de Poincaré en Elasticité (à paraître).

  9. L. E. Payne,Isoperimetric Inequalities and their Applications, SIAM Rev.9, no 3, 453–488 (1967).

    Google Scholar 

  10. L. E. Payne,Some Isoperimetric Inequalities for Harmonic Functions, SIAM J. Math. Anal.1, no 3, 354–359 (1970).

    Google Scholar 

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Authors and Affiliations

  1. Institut de Mécanique Théorique et Appliquée, Université Pierre et Marie Curie, Paris, France

    Par J. Ladevèze & P. Ladevèze

Authors
  1. Par J. Ladevèze
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  2. P. Ladevèze
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Ladevèze, P.J., Ladevèze, P. Majorations de constantes de Steklov. Journal of Applied Mathematics and Physics (ZAMP) 29, 684–692 (1978). https://doi.org/10.1007/BF01601493

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  • DOI: https://doi.org/10.1007/BF01601493

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