A. Girouard

activity

20032026

most citedThe Steklov spectrum of surfaces: asymptotics and invariants

27 citations · 95 across the 24 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.SP2018

Hypersurfaces of Euclidean space with prescribed boundary and small Steklov eigenvalues

Bruno Colbois, Alexandre Girouard, Antoine Métras

Given a smooth compact hypersurface $M$ with boundary $Σ = \partial M$ , we prove the existence of a sequence $M_{j}$ of hypersurfaces with the same boundary as $M$ , such that each Stek…

math.SP2018

The Steklov and Laplacian spectra of Riemannian manifolds with boundary

Bruno Colbois, Alexandre Girouard, Asma Hassannezhad

Given two compact Riemannian manifolds with boundary $M_{1}$ and $M_{2}$ such that their respective boundaries $Σ_{1}$ and $Σ_{2}$ admit neighborhoods $Ω_{1}$ and $Ω_{2}$ which are isometric,…

math.DG2018

Large spectral gaps for Steklov eigenvalues under volume constraints and under localized conformal deformations

Donato Cianci, Alexandre Girouard

In this paper we construct compact manifolds with fixed boundary geometry which admit Riemannian metrics of unit volume with arbitrarily large Steklov spectral gap. We also study t…