27 citations · 95 across the 24 of their papers we have counts for
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math.SP2012
Uniform stability of the Dirichlet spectrum for rough outer perturbations
Bruno Colbois, Alexandre Girouard, Mette Iversen
The goal of this paper is to study the Dirichlet eigenvalues of bounded domains . With a local spectral stability requirement on , we show that the difference of th…
math.SP2012
Upper bounds for Steklov eigenvalues on surfaces
Alexandre Girouard, Iosif Polterovich
We give explicit isoperimetric upper bounds for all Steklov eigenvalues of a compact orientable surface with boundary, in terms of the genus, the length of the boundary, and the nu…