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A Reilly inequality for the first Steklov eigenvalue

✍ Scribed by Saïd Ilias; Ola Makhoul

Book ID
113567232
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
203 KB
Volume
29
Category
Article
ISSN
0926-2245

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An Isoperimetric Inequality and the Firs
An Isoperimetric Inequality and the First Steklov Eigenvalue
✍ José F Escobar 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 142 KB

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.