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| Lower Bound Estimates of the First Steklov Eigenvalue for Compact Manifolds |
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Citation： |
Yiwei LIU,Yi-Hu YANG.Lower Bound Estimates of the First Steklov Eigenvalue for Compact Manifolds[J].Chinese Annals of Mathematics B,2026,(1):115~126 |
| Page view： 179
Net amount： 90 |
Authors： |
Yiwei LIU; Yi-Hu YANG |
Foundation： |
National Natural Science Foundation of China (No. 12071283) |
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| Abstract： |
Let (Ωn+1, g) be an (n+1)-dimensional smooth compact connected Riemannian manifold with smooth boundary ?Ω = Σ. The authors establish new lower bound estimates for the first nonzero Steklov eigenvalue σ? in terms of geometric quantities such as the Ricci curvature of Ω, the mean curvature of Σ, and a weight function adapted to the boundary geometry. The method combines Reilly-type formulas with careful analysis of boundary integrals. |
Keywords： |
Lower bound Steklov eigenvalue Weight function |
Classification： |
53C21, 53C24 |
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