Quantitative Resolvent and Eigenfunction Stability for the Faber-Krahn Inequality

Mark Allen, Dennis Kriventsov, Robin Neumayer

For a bounded open set $\Omega \subset {\mathbb{R}}^n$ with the same volume as the unit ball, the classical Faber-Krahn inequality says that the first Dirichlet eigenvalue ${\lambda }_1(\Omega )$ of the…