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Girouard, Alexandre
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Girouard, Alexandre
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Voici les éléments 1 - 3 sur 3
- PublicationMétadonnées seulementUniform stability of the Dirichlet spectrum for rough perturbations(2013-10-29)
; ; Iversen, Mette - PublicationMétadonnées seulementIsoperimetric control of the spectrum of a compact hypersurface(2013-10-2)
; ;El Soufi, Ahmad - PublicationMétadonnées seulementIsoperimetric control of the Steklov spectrum(2011-6-21)
; ;El Soufi, AhmadWe prove that the normalized Steklov eigenvalues of a bounded domain in a complete Riemannian manifold are bounded above in terms of the inverse of the isoperimetric ratio of the domain. Consequently, the normalized Steklov eigenvalues of a bounded domain in Euclidean space, hyperbolic space or a standard hemisphere are uniforml bounded above. On a compact surface with boundary, we obtain uniform bounds for the normalized Steklov eigenvalues in terms of the genus. We also establish a relationship between the Steklov eigenvalues of a domain and the eigenvalues of the Laplace-Beltrami operator on its boundary hypersurface.