%0 Journal Article
%T High-order Cheeger's inequality on domain
%A Shumao Liu
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1411.4737v2