29 citations · 149 across the 40 of their papers we have counts for
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Upper bounds for the Steklov eigenvalues of warped products
Jade Brisson, Bruno Colbois, Alexandre Girouard +1
We obtain upper bounds for the Steklov eigenvalues of warped products , where is a compact Riemannian manifold with boundary and is a closed Riemannian manifold…
Upper bound for Steklov eigenvalues of warped products with fiber of dimension 2
Jade Brisson, Bruno Colbois
In this note, we investigate the Steklov spectrum of the warped product equipped with the metric , where is a compact surface. We find sharp u…
Spectral ratios and gaps for Steklov eigenvalues of balls with revolution-type metrics
Jade Brisson, Bruno Colbois, Katie Gittins
We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature o…
A reverse Faber-Krahn inequality for the magnetic Laplacian
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the first eigenvalue of the magnetic Laplacian in a bounded and simply connected planar domain, with uniform magnetic field and Neumann boundary conditions. We investig…
Geometric bounds for the magnetic Neumann eigenvalues in the plane
Bruno Colbois, Corentin Léna, Luigi Provenzano +1
We consider the eigenvalues of the magnetic Laplacian on a bounded domain of with uniform magnetic field and magnetic Neumann boundary conditions. We find u…
Some recent developments on the Steklov eigenvalue problem
Bruno Colbois, Alexandre Girouard, Carolyn Gordon +1
The Steklov eigenvalue problem, first introduced over 125 years ago, has seen a surge of interest in the past few decades. This article is a tour of some of the recent developments…