29 citations · 149 across the 40 of their papers we have counts for
17 papers · 1 filter
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-…
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…
Sharp Steklov upper bound for submanifolds of revolution
Bruno Colbois, Sheela Verma
In this note, we find a sharp upper bound for the Steklov spectrum on a submanifold of revolution in Euclidean space with one boundary component.
Lower bounds for the first eigenvalue of the magnetic Laplacian
Bruno Colbois, Alessandro Savo
We consider a Riemannian cylinder endowed with a closed potential 1-form A and study the magnetic Laplacian with magnetic Neumann boundary conditions associated with those data. We…
Eigenvalue upper bounds for the magnetic Schroedinger operator
Bruno Colbois, Ahmad El Soufi, Said Ilias +1
We study the eigenvalues of the magnetic Schroedinger operator associated with a magnetic potential A and a scalar potential q, on a compact Riemannian manifold M, with Neumann bou…
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…