29 citations · 149 across the 40 of their papers we have counts for
3 papers · 2 filters
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space
Bruno Colbois, Alexandre Girouard, Katie Gittins
We obtain upper and lower bounds for Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. A very general upper bound is proved, which depends only on th…
Eigenvalues of elliptic operators with density
Bruno Colbois, Luigi Provenzano
We consider eigenvalue problems for elliptic operators of arbitrary order subject to Neumann boundary conditions on bounded domains of the Euclidean -dimensional space. We…
Compact manifolds with fixed boundary and large Steklov eigenvalues
Bruno Colbois, Ahmad El Soufi, Alexandre Girouard
Let M be a compact Riemannian manifold with boundary. Let b>0 be the number of connected components of its boundary. For manifolds of dimension at least 3, we prove that it is poss…