Kroger's upper bound types for the Dirichlet eigenvalues of the fractional Laplacian
Analysis of PDEs
2020-12-08 v1
Abstract
We establish an upper bound of the sum of the eigenvalues for the Dirichlet problem of the fractional Laplacian. Our result is obtained by a subtle computation of the Rayleigh quotient for specific functions.
Cite
@article{arxiv.2012.03163,
title = {Kroger's upper bound types for the Dirichlet eigenvalues of the fractional Laplacian},
author = {Ying Wang and Hongxing Chen and Hichem Hajaiej},
journal= {arXiv preprint arXiv:2012.03163},
year = {2020}
}
Comments
11 pages