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A probabilistic approach to the first Dirichlet eigenvalue on non-compact Riemannian manifold

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Publication:4358838
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DOI10.1007/BF02560531zbMath1002.58520WikidataQ115392063 ScholiaQ115392063MaRDI QIDQ4358838

Fengyu Wang

Publication date: 24 July 2000

Published in: Acta Mathematica Sinica (Search for Journal in Brave)



Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Diffusion processes and stochastic analysis on manifolds (58J65) Analysis on supermanifolds or graded manifolds (58C50)


Related Items (3)

Coupling, spectral gap and related topics. II ⋮ Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature condition ⋮ Estimates of the first Dirichlet eigenvalue by using diffusion processes



Cites Work

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  • Lower bounds for the first eigenvalue of elliptic equations
  • Application of coupling methods to the Neumann eigenvalue problem
  • Estimates of the first Dirichlet eigenvalue by using diffusion processes
  • Related aspects of positivity in Riemannian geometry


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