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A SHARP LOWER BOUND OF THE FIRST NEUMANN EIGENVALUE OF A COMPACT HYPERSURFACE INSIDE A CONVEX SET
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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.
키워드
Neumann eigenvalue; Laplacian operator; convex set
- 제목
- A SHARP LOWER BOUND OF THE FIRST NEUMANN EIGENVALUE OF A COMPACT HYPERSURFACE INSIDE A CONVEX SET
- 저자
- 서검교
- 발행일
- 2010-12
- 저널명
- 충청수학회지
- 권
- 23
- 호
- 4
- 페이지
- 629 ~ 633