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Colbois, Bruno
Nom
Colbois, Bruno
Affiliation principale
Fonction
Professeur ordinaire
Email
Bruno.Colbois@unine.ch
Identifiants
Résultat de la recherche
Voici les éléments 1 - 10 sur 51
- 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 seulementEigenvalue control for a Finsler--Laplace operator(2013-5-1)
;Barthelmé, Thomas - PublicationMétadonnées seulementInvolutive isometries, eigenvalue bounds and a spectral property of Clifford tori(2012-2-17)
; Savo, Alessandro - PublicationMétadonnées seulementHilbert domains that admit a quasi-isometric embedding into Euclidean space(2011-12-21)
; Verovic, Patrick - 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. - PublicationMétadonnées seulementLarge eigenvalues and concentration(2011-4-21)
; Savo, Alessandro - PublicationMétadonnées seulementHilbert geometry for convex polygonal domains(2011-1-21)
; ;Vernicos, ConstantinVerovic, Patrick - PublicationMétadonnées seulementEigenvalue estimate for the rough Laplacian on differential forms(2010-2-21)
; Maerten, DanielWe study the spectrum of the rough Laplacian acting on differential forms on a compact Riemannian manifold (M,g). We first construct on M metrics of volume 1 whose spectrum is as large as desired. Then, provided that the Ricci curvature of g is bounded below, we relate the spectrum of the rough Laplacian on 1--forms to the spectrum of the Laplacian on functions, and derive some upper bound in agreement with the asymptotic Weyl law. - PublicationMétadonnées seulementBounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds(2010-1-21)
; ;Dryden, Emily BEl Soufi, AhmadWe give upper bounds for the eigenvalues of the La-place-Beltrami operator of a compact m-dimensional submanifold M of R^{m+p}. Besides the dimension and the volume of the submanifold and the order of the eigenvalue, these bounds depend on either the maximal number of intersection points of M with a p-plane in a generic position (transverse to M), or an invariant which measures the concentration of the volume of M in R^{m+p}. These bounds are asymptotically optimal in the sense of the Weyl law. On the other hand, we show that even for hypersurfaces (i.e., when p=1), the first positive eigenvalue cannot be controlled only in terms of the volume, the dimension and (for m>2) the differential structure.