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Lower bounds of Cheeger-Osserman type for the first eigenvalue of then-dimensional fixed membrane problem

  • Albert Avinyó
  • Xavier Mora
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Summary

In this note we derive new lower bounds for the first eigenvalue of the Laplacian in a boundedn-dimensional domain with Dirichlet boundary conditions. The lower bounds obtained are related to those of Cheeger (1970) [2] and Osserman (1977) [6], and they turn out to be sharper when the domain is not too far from being a ball.

Keywords

Boundary Condition Lower Bound Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag 1990

Authors and Affiliations

  • Albert Avinyó
    • 1
  • Xavier Mora
    • 2
  1. 1.Dept. Matemàtica Aplicada II. Fac. d'lnformàticaUniversitat Politècnica de CatalunyaBarcelona
  2. 2.Dept. de MatemàtiquesUniv. Autònoma de BarcelonaBellaterra, BarcelonaSpain

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