Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606289 | Differential Geometry and its Applications | 2011 | 10 Pages |
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
Authors
Saïd Ilias, Ola Makhoul,