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A lower bound for first eigenvalue with mixed boundary condition

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Publication:1764395
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DOI10.1007/S11766-004-0057-2zbMath1064.58008OpenAlexW1977794760MaRDI QIDQ1764395

Xin An Ren, Hong-Wei Xu

Publication date: 24 February 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0057-2


zbMATH Keywords

eigenvalueRiemannian manifoldLaplace-Beltrami operatormixed boundary condition


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40)


Related Items (2)

Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds ⋮ The Obata equation with Robin boundary condition




Cites Work

  • Certain conditions for a Riemannian manifold to be isometric with a sphere
  • Heat Equations on Minimal Submanifolds and Their Applications
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