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http://dx.doi.org/10.14403/jcms.2010.23.4.629

A SHARP LOWER BOUND OF THE FIRST NEUMANN EIGENVALUE OF A COMPACT HYPERSURFACE INSIDE A CONVEX SET

Seo, Keomkyo (Department of Mathematics Sookmyung Women's University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 629-633 More about this Journal

Abstract

In this paper we provide a sharp lower bound of the first Neumann eigenvalue of a compact hypersurface $\Sigma$ inside a convex set C in a Riemannian manifold under the assumption that ${\partial}{\Sigma}$ meets ${\partial}C$ orthogonally.

Keywords

Neumann eigenvalue; Laplacian operator; convex set;

Citations & Related Records

Reference

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