A new proof of the bound for the first Dirichlet eigenvalue of the Laplacian operator
2014 ◽
Vol 22
(2)
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pp. 129-140
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AbstractIn this paper, we present a new proof of the upper and lower bound estimates for the first Dirichlet eigenvalue $\lambda _1^D \left({B\left({p,r} \right)} \right)$ of Laplacian operator for the manifold with Ricci curvature Rc ≥ −K, by using Li-Yau’s gradient estimate for the heat equation.
2006 ◽
Vol 17
(05)
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pp. 605-617
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2015 ◽
Vol 160
(2)
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pp. 191-208
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Keyword(s):
2015 ◽
Vol 145
(3)
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pp. 559-569
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Keyword(s):
2015 ◽
Vol 66
(5)
◽
pp. 2419-2440
Keyword(s):
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