29 citations · 149 across the 40 of their papers we have counts for
46 papers
Lower bounds for the low Steklov eigenvalues
Tirumala Chakradhar, Bruno Colbois, Asma Hassannezhad
For a compact, connected, orientable Riemannian manifold with boundary components, we obtain geometric lower bounds for the low Steklov eigenvalues, namely , $1\le k\le b-…
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…
Magnetic ground states and the conformal class of a surface
Bruno Colbois, Luigi Provenzano, Alessandro Savo
On a closed, orientable Riemannian surface of arbitrary genus and Riemannian metric we study the magnetic Laplacian with magnetic potential given by a harmonic…
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…