L_1-Estimates for Eigenfunctions of the Dirichlet Laplacian

Michiel van den Berg, Rainer Hempel, Juergen Voigt

For $d\in \mathbb{N}$ and $\Omega \ne \varnothing$ an open set in ${\mathbb{R}}^d$, we consider the eigenfunctions $\Phi$ of the Dirichlet Laplacian $-{\Delta }_{\Omega }$ of $\Omega$. If $\Phi$ is associated with an eigenvalue belo…