B. Colbois

activity

20042026

most citedExtremal Eigenvalues of the Laplacian on Euclidean domains and closed surfaces

29 citations · 149 across the 40 of their papers we have counts for

collaborators

Showing 2020 · math.SPShow all

3 papers · 2 filters

math.SP2020★ 3 cited

Conformal upper bounds for the eigenvalues of the $p$ -Laplacian

Bruno Colbois, Luigi Provenzano

In this note we present upper bounds for the variational eigenvalues of the $p$ -Laplacian on smooth domains of complete $n$ -dimensional Riemannian manifolds and Neumann boundary co…

math.SP2020

Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index

Bruno Colbois, Katie Gittins

We obtain upper bounds for the Steklov eigenvalues $σ_{k} (M)$ of a smooth, compact, connected, $n$ -dimensional submanifold $M$ of Euclidean space with boundary $Σ$ that involve the i…

math.SP2020

Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains

Bruno Colbois, Alessandro Savo

We study the Laplacian with zero magnetic field acting on complex functions of a planar domain $Ω$ , with magnetic Neumann boundary conditions. If $Ω$ is simply connected then the s…

Conformal upper bounds for the eigenvalues of the p-Laplacian

Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index

Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains

Conformal upper bounds for the eigenvalues of the $p$ -Laplacian