๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Estimates for Sums of Eigenvalues of the Laplacian

โœ Scribed by P. Kroger


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
310 KB
Volume
126
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The kth Laplacian eigenvalue of a tree
โœ Ji-Ming Guo ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 102 KB

## Abstract Let ฮป~__k__~(__G__) be the __k__th Laplacian eigenvalue of a graph __G__. It is shown that a tree __T__ with __n__ vertices has $\lambda\_{k}(T)\le \lceil { {n}\over{k}}\rceil$ and that equality holds if and only if __k__ < __n__, __k__|__n__ and __T__ is spanned by __k__ vertex disjoin

Extremals for Eigenvalues of Laplacians
โœ Richard Snyder Laugesen; Carlo Morpurgo ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 441 KB

Po lya and G. Szego showed in 1951 that for simply connected plane domains, the first eigenvalue of the Laplacian (with Dirichlet boundary conditions) is maximal for a disk, under a conformal mapping normalization. That is, if f (z) is a conformal map of a disk D onto a bounded, simply connected pla

Examples of embedded eigenvalues for the
โœ K. J. Witsch ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 153 KB

## Abstract It is shown that there exist domains ฮฉ โŠ‚ โ„^__N__^, which outside of some ball coincide with the strip โ„^__N__ โˆ’ 1^ ร— (0, ฯ€) and for which the Dirichlet Laplacian โ€“ ฮ” has eigenvalues within the subinterval (1, 4) of the essential spectrum (1, โˆž).