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A SHARP LOWER BOUND OF THE FIRST NEUMANN EIGENVALUE OF A COMPACT HYPERSURFACE INSIDE A CONVEX SET
- Authors
- 서검교
- Issue Date
- Dec-2010
- Publisher
- 충청수학회
- Keywords
- Neumann eigenvalue; Laplacian operator; convex set
- Citation
- 충청수학회지, v.23, no.4, pp 629 - 633
- Pages
- 5
- Journal Title
- 충청수학회지
- Volume
- 23
- Number
- 4
- Start Page
- 629
- End Page
- 633
- ISSN
- 1226-3524
2383-6245
- Abstract
- In this paper we provide a sharp lower bound of the first Neumann eigenvalue of a compact hypersurface ∑inside a convex set C in a Riemannian manifold under the assumption that ∂∑ meets ∂C orthogonally.
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