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Application of coupling methods to the Neumann eigenvalue problem
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  • Published: September 1994

Application of coupling methods to the Neumann eigenvalue problem

  • Feng-Yu Wang1 

Probability Theory and Related Fields volume 98, pages 299–306 (1994)Cite this article

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Summary

By using coupling methods, some lower bounds are obtained for the first Neumann eigenvalue on Riemannian manifolds. This method is new and the results improve some known estimates. An example shows that our estimates can be sharp.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, People's Republic of China

    Feng-Yu Wang

Authors
  1. Feng-Yu Wang
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Additional information

Research supported in part by the Foundation of Beijing Normal University

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Cite this article

Wang, FY. Application of coupling methods to the Neumann eigenvalue problem. Probab. Th. Rel. Fields 98, 299–306 (1994). https://doi.org/10.1007/BF01192256

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  • Received: 01 September 1993

  • Revised: 14 September 1993

  • Issue Date: September 1994

  • DOI: https://doi.org/10.1007/BF01192256

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Mathematics Subject Classification (1991)

  • 58G32
  • 58C50
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