Article ID Journal Published Year Pages File Type
4606289 Differential Geometry and its Applications 2011 10 Pages PDF
Abstract

Let M   be a compact submanifold with boundary of a Euclidean space or a Sphere. In this paper, we derive an upper bound for the first non-zero eigenvalue p1p1 of Steklov problem on M in terms of the r-th mean curvatures of its boundary ∂M. The upper bound obtained is sharp.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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