Une in\'egalit\'e de Cheeger pour le spectre de Steklov

TL;DR

This paper establishes a Cheeger inequality relating the first positive Steklov eigenvalue to two isoperimetric constants, providing new insights into spectral geometry.

Contribution

It introduces a novel Cheeger inequality for the Steklov spectrum involving two isoperimetric constants, advancing understanding of spectral bounds.

Findings

Proves a Cheeger inequality for the first positive Steklov eigenvalue

Relates Steklov eigenvalues to isoperimetric constants

Provides bounds connecting geometry and spectral properties

Abstract

We prove a Cheeger inequality for the first positive Steklov eigenvalue. It involves two isoperimetric constants.