科研之友
微信
新浪微博
Facebook
分享链接
摘要
We prove several results about the multiplicity of the first Steklov eigen-values on compact surfaces with boundary. We improve some bounds on the multiplicity, especially for the first eigenvalue, and we prove they are sharp on some surfaces of small genus. In a previous article, we defined a new chromatic invariant of surfaces with boundary and conjectured that this invariant is related to the bound on the first eigenvalue. In the present article, we study this invariant, and prove one of the inequalities of this conjecture.
- 出版日期2016-5
