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Isoperimetric Inequalities and Eigenvalues

✍ Scribed by Kahale, Nabil


Book ID
120379274
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
252 KB
Volume
10
Category
Article
ISSN
0895-4801

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An Isoperimetric Inequality and the Firs
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Let (M n , g) be a compact Riemannian manifold with boundary. In this paper we give upper and lower estimates for the first nonzero Steklov eigenvalue where & 1 is a positive real number. The estimate from below is for a star-shaped domain on a manifold whose Ricci curvature is bounded from below.