Estimates for higher Steklov eigenvalues

TL;DR

This paper extends existing estimates for the first Steklov eigenvalues of Euclidean domains to higher eigenvalues, broadening the understanding of spectral properties in geometric analysis.

Contribution

It generalizes Raulot-Savo's estimate from the first to higher Steklov eigenvalues for Euclidean domains.

Findings

Generalized eigenvalue estimates to higher Steklov eigenvalues

Provided new bounds for spectral analysis of Euclidean domains

Extended the theoretical framework for Steklov eigenvalues

Abstract

In this paper, motivated by the work of Raulot and Savo, we generalize Raulot-Savo's estimate for the first Steklov eigenvalues of Euclidean domains to higher Steklov eigenvalues.