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A reverse Hölder inequality for the eigenfunctions of linear second order elliptic operators

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Summary

An integral inequality for the eigenfunctions of linear second order elliptic operators in divergence form is proved. The result is a generalization of the Payner-Rayner inequality.

Résumé

On démontre une inégalité intégrale pour les fonctions propres d'une classe d'opérateurs linéaires élliptiques du deuxième ordre. Le résultat est une généralization de l'inégalité de Payner-Rayner.

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References

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Authors and Affiliations

  1. Istituto Matematico “Ulisse Dini”, Firenze, Italy

    Giuseppe Chiti

Authors
  1. Giuseppe Chiti
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Additional information

This study was performed within the G.N.A.F.A. of the Italian C.N.R.

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Chiti, G. A reverse Hölder inequality for the eigenfunctions of linear second order elliptic operators. Z. angew. Math. Phys. 33, 143–148 (1982). https://doi.org/10.1007/BF00948319

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  • DOI: https://doi.org/10.1007/BF00948319

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