Mixed eigenvalues of p-Laplacian on trees
Probability
2016-03-09 v2 Spectral Theory
Abstract
The purpose of the paper is to present quantitative estimates for the principal eigenvalue of discrete p-Laplacian on the set of rooted trees. Alternatively, it is studying the optimal constant of a class of weighted Hardy inequality. Three kinds of variational formulas in different formulation for the mixed principal eigenvalue of p-Laplacian on the set of trees with unique root as Dirichlet boundary are presented. As their applications, we obtain a basic estimate of the eigenvalue on trees.
Keywords
Cite
@article{arxiv.1512.04770,
title = {Mixed eigenvalues of p-Laplacian on trees},
author = {LingDi Wang},
journal= {arXiv preprint arXiv:1512.04770},
year = {2016}
}