Faber-Krahn inequality for the first Dirichlet eigenvalues of the logarithmic Hardy operator

Ying Wang, Tao Zhang, Wanwan Wang

The purpose of this paper is to study Faber--Krahn inequality of Dirichlet eigenvalues $\{{\lambda }_k^{\ln ,\mu }(\Omega ){\}}_{k\in \mathbb{N}}$ for the logarithmic Hardy operator \[ \mathcal{L}_μ=(-Δ)^{\…