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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Research supported in part by the Foundation of Beijing Normal University
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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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DOI: https://doi.org/10.1007/BF01192256
Mathematics Subject Classification (1991)
- 58G32
- 58C50