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Sharp gradient estimates for eigenfunctions on Riemannian manifolds
Published online by Cambridge University Press: 17 April 2009
Abstract
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Sharp gradient estimates are derived for positive eigenfunctions on complete Riemannian manifolds with Ricci curvature bounded below.
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- Copyright © Australian Mathematical Society 1998
References
[1]Gallot, S., Hulin, D. and Lafontaine, J., Riemannian geometry (Springer-Verlag, Berlin, Heidelberg, New York, 1993).Google Scholar
[2]Yau, S.T., ‘Harmonic functions on complete Riemannian manifolds’, Comm. Pure Appl. Math. 28 (1975), 201–228.CrossRefGoogle Scholar
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