On the Gap between the First Eigenvalues of the Laplacian on Functions andp-Forms
β Scribed by Junya Takahashi
- Book ID
- 110406794
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 131 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0232-704X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a graph whose Laplacian eigenvalues are 0 = Ξ» 1 Ξ» 2 β’ β’ β’ Ξ» n . We investigate the gap (expressed either as a difference or as a ratio) between the extremal non-trivial Laplacian eigenvalues of a connected graph (that is Ξ» n and Ξ» 2 ). This gap is closely related to the average density of c
We studied the two known works on stability for isoperimetric inequalities of the first eigenvalue of the Laplacian. The earliest work is due to A. Melas who proved the stability of the Faber-Krahn inequality: for a convex domain contained in n with Ξ» close to Ξ», the first eigenvalue of the ball B o