𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Trace formulae for the eigenvalues of the Laplacian

✍ Scribed by B. D. Sleeman; E. M. E. Zayed


Publisher
Springer
Year
1984
Tongue
English
Weight
392 KB
Volume
35
Category
Article
ISSN
0044-2275

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Eigenvalue problems for the p-Laplacian
✍ An LΓͺ πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 347 KB

We study nonlinear eigenvalue problems for the p-Laplace operator subject to different kinds of boundary conditions on a bounded domain. Using the Ljusternik-Schnirelman principle, we show the existence of a nondecreasing sequence of nonnegative eigenvalues. We prove the simplicity and isolation of

Upper Bounds for the Laplacian Graph Eig
✍ Jiong Sheng Li; Yong Liang Pan πŸ“‚ Article πŸ“… 2004 πŸ› Institute of Mathematics, Chinese Academy of Scien 🌐 English βš– 129 KB
Lower bounds for the eigenvalues of Lapl
✍ Abraham Berman; Xiao-Dong Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 70 KB

We give a lower bound for the second smallest eigenvalue of Laplacian matrices in terms of the isoperimetric number of weighted graphs. This is used to obtain an upper bound for the real parts of the nonmaximal eigenvalues of irreducible nonnegative matrices.