𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Representation of the eigenvalues of the p -Laplacian by means of a surface integral

✍ Scribed by Pier Domenico Lamberti


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
89 KB
Volume
278
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We prove a natural generalization to the p ‐Laplacian of the celebrated Rellich identity. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


πŸ“œ SIMILAR VOLUMES


The kth Laplacian eigenvalue of a tree
✍ Ji-Ming Guo πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## Abstract Let Ξ»~__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