High-order Cheeger's inequality on domain
Analysis of PDEs
2015-02-09 v2
Abstract
We study the relationship of higher order variational eigenvalues of p-Laplacian and the higher order Cheeger constants. The asymptotic behavior of the k-th Cheeger constant is investigated. Using methods of decompostion of the domain with respect to the eigenfunctions, we obtain the high-order Cheeger's inequality of p-Laplacian on domain.
Cite
@article{arxiv.1411.4737,
title = {High-order Cheeger's inequality on domain},
author = {Shumao Liu},
journal= {arXiv preprint arXiv:1411.4737},
year = {2015}
}