High-order Cheeger's inequality on domain

Published 18 Nov 2014 in math.AP | (1411.4737v2)

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

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