27 citations · 95 across the 24 of their papers we have counts for
3 papers · 1 filter
The Steklov spectrum of cuboids
Alexandre Girouard, Jean Lagacé, Iosif Polterovich +1
The paper is concerned with the Steklov eigenvalue problem on cuboids of arbitrary dimension. We prove a two-term asymptotic formula for the counting function of Steklov eigenvalue…
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…
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…