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arXiv · 1411.4737

High-order Cheeger's inequality on domain

Shumao Liu
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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.

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Shumao Liu. 2014-11-18. High-order Cheeger's inequality on domain. https://arxiv.org/abs/1411.4737

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