Kroger's upper bound types for the Dirichlet eigenvalues of the fractional Laplacian

2020/12/06 by Wang, Ying, Chen, Hongxing, Hajaiej, Hichem
#35P15 #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2012.03163

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.

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