Higher order Cheeger inequalities for Steklov eigenvalues

Autor: Laurent Miclo, Asma Hassannezhad

Publikováno v: Hassannezhad, A & Miclo, L 2020, ' Higher order Cheeger inequalities for Steklov eigenvalues ', Annales Scientifiques de l'École Normale Supérieure, vol. 53, no. 1, pp. 43-88 . https://doi.org/10.24033/asens.2417
Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, 2019
Annales Scientifiques de l'Ecole Normale Superieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2019

We prove a lower bound for the $k$-th Steklov eigenvalues in terms of an isoperimetric constant called the $k$-th Cheeger-Steklov constant in three different situations: finite spaces, measurable spaces, and Riemannian manifolds. These lower bounds c

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https://research-information.bris.ac.uk/en/publications/3eee6396-94a1-4dd4-8f51-9c5b70e775a8