27 citations · 95 across the 24 of their papers we have counts for
3 papers · 1 filter
Large Steklov eigenvalues under volume constraints
Alexandre Girouard, Panagiotis Polymerakis
In this note we establish an expression for the Steklov spectrum of warped products in terms of auxiliary Steklov problems for drift Laplacians with weight induced by the warping f…
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…
The Steklov spectrum and coarse discretizations of manifolds with boundary
Bruno Colbois, Alexandre Girouard, Binoy Raveendran
We consider the class of compact n-dimensional Riemannian manifolds with cylindrical boundary, Ricci curvature bounded below by a given constant and injectivity radius bounded belo…