Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre |
|
2011
|
Extremal eigenvalues of the Laplacian in a conformal class of metrics: the ‘conformal spectrum’. Zbl 1036.58026
Colbois, Bruno; El Soufi, Ahmad |
|
2003
|
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J. |
|
1994
|
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. Zbl 1423.35273
Colbois, Bruno; Girouard, Alexandre; Gittins, Katie |
|
2019
|
Eigenvalues estimate for the Neumann problem of a bounded domain. Zbl 1158.58014
Colbois, Bruno; Maerten, Daniel |
|
2008
|
Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d’injectivité. (Eigenvalues smaller than 1/4 of Riemann surfaces with small injectivity radius). Zbl 0684.53040
Colbois, Bruno; Courtois, Gilles |
|
1989
|
The Steklov spectrum and coarse discretizations of manifolds with boundary. Zbl 1457.58007
Colbois, Bruno; Girouard, Alexandre; Raveendran, Binoy |
|
2018
|
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre |
|
2013
|
Sur la multiplicité de la première valeur propre d’une surface de Riemann à courbure constante. (On the multiplicity of the first eigenvalue of a Riemannian surface of constant curvature). Zbl 0656.53043
Colbois, B.; Colin de Verdière, Yves |
|
1988
|
Spectrum of the Laplacian acting on differential \(p\)-forms, and down breaking handles.
(Spectre du Laplacien agissant sur les \(p\)-formes différentielles et écrasement d’anses.) Zbl 0909.58054
Anné, Colette; Colbois, Bruno |
|
1995
|
Eigenvalues of the Laplacian on a compact manifold with density. Zbl 1317.58031
Colbois, Bruno; El Soufi, Ahmad; Savo, Alessandro |
|
2015
|
Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds. Zbl 1187.58027
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad |
|
2010
|
Hilbert geometry for strictly convex domains. Zbl 1078.52002
Colbois, Bruno; Verovic, Patrick |
|
2004
|
The area of ideal triangles in Hilbert geometry.
(L’ aire des triangles idéaux en géometrie de Hilbert.) Zbl 1079.53110
Colbois, B.; Vernicos, C.; Verovic, P. |
|
2004
|
Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces. Zbl 1301.35063
Colbois, Bruno; El Soufi, Ahmad |
|
2014
|
The Steklov and Laplacian spectra of Riemannian manifolds with boundary. Zbl 1432.35148
Colbois, Bruno; Girouard, Alexandre; Hassannezhad, Asma |
|
2020
|
A note on the first nonzero eigenvalue of the Laplacian acting on p- forms. Zbl 0709.53031
Colbois, Bruno; Courtois, Gilles |
|
1990
|
A pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space. Zbl 1112.53003
Colbois, Bruno; Grosjean, Jean-François |
|
2007
|
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 1483.58007
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre |
|
2019
|
Convergence de variétés et convergence du spectre du laplacien. (Convergence of manifolds and convergence of the spectrum of the Laplacian). Zbl 0754.58040
Colbois, B.; Courtois, G. |
|
1991
|
Eigenvalues of elliptic operators with density. Zbl 1388.35136
Colbois, Bruno; Provenzano, Luigi |
|
2018
|
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J. |
|
1993
|
Capacity and Faber-Krahn inequality in \(\mathbb R^{n}\).
(Capacité et inégalité de Faber-Krahn dans \(\mathbb R^{n}\).) Zbl 1100.31005
Bertrand, J.; Colbois, B. |
|
2006
|
Hodge-Laplace operator on compact manifolds deprived of a finite number of balls.
(Opérateur de Hodge-Laplace sur des variétés compactes privées d’un nombre fini de boules.) Zbl 0791.58018
Anné, Colette; Colbois, Bruno |
|
1993
|
Spectrum of the Laplacian with weights. Zbl 1408.35105
Colbois, Bruno; El Soufi, Ahmad |
|
2019
|
Lower bounds for the first eigenvalue of the magnetic Laplacian. Zbl 1386.58013
Colbois, Bruno; Savo, Alessandro |
|
2018
|
Hilbert geometry for convex polygonal domains. Zbl 1232.53059
Colbois, Bruno; Vernicos, Constantin; Verovic, Patrick |
|
2011
|
Bottom of the spectrum and delta hyperbolicity in plane Hilbert geometry.
(Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane.) Zbl 1117.53034
Colbois, Bruno; Vernicos, Constantin |
|
2006
|
Extremal \(G\)-invariant eigenvalues of the Laplacian of \(G\)-invariant metrics. Zbl 1127.58026
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad |
|
2008
|
Curvature, Harnack’s inequality, and a spectral characterization of nilmanifolds. Zbl 1026.58021
Aubry, Erwann; Colbois, Bruno; Ghanaat, Patrick; Ruh, Ernst A. |
|
2003
|
Eigenvalues of the Laplacian acting on \(p\)-forms and metric conformal deformations. Zbl 1095.35013
Colbois, Bruno; El Soufi, Ahmad |
|
2006
|
Small eigenvalues and the Euler class of \(S^1\)-bundles.
(Petites valeurs propres et classe d’Euler des \(S^1\)-fibrés.) Zbl 0968.58001
Colbois, Bruno; Courtois, Gilles |
|
2000
|
Sur la multiplicité de la première valeur propre de l’opérateur de Schrödinger avec champ magnétique sur la sphère \(S^2\). (On the multiplicity of the first eigenvalue of the Schrödinger operator with magnetic field on the sphere \(S^2\)). Zbl 0903.58060
Besson, Gérard; Colbois, Bruno; Courtois, Gilles |
|
1998
|
Sharp Steklov upper bound for submanifolds of revolution. Zbl 1482.35142
Colbois, Bruno; Verma, Sheela |
|
2021
|
The spectral gap of graphs and Steklov eigenvalues on surfaces. Zbl 1286.58020
Colbois, Bruno; Girouard, Alexandre |
|
2014
|
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results. Zbl 1491.35298
Colbois, Bruno; Provenzano, Luigi |
|
2022
|
The spectrum of the Laplacian: A geometric approach. Zbl 1386.35293
Colbois, Bruno |
|
2017
|
Petites valeurs propres du laplacien sur une surface de Riemann compacte et graphes. (Small eigenvalues of the Laplacian on a compact Riemann surface and graphs). Zbl 0582.53034
Colbois, Bruno |
|
1985
|
Eigenvalues upper bounds for the magnetic Schrödinger operator. Zbl 1518.58005
Colbois, Bruno; El Soufi, Ahmad; Ilias, Saïd; Savo, Alessandro |
|
2022
|
Eigenvalue control for a Finsler-Laplace operator. Zbl 1272.53063
Barthelmé, Thomas; Colbois, Bruno |
|
2013
|
Hilbert domains that admit a quasi-isometric embedding into Euclidean space. Zbl 1220.53089
Colbois, Bruno; Verovic, Patrick |
|
2011
|
Eigenvalue estimate for the rough Laplacian on differential forms. Zbl 1193.35111
Colbois, Bruno; Maerten, Daniel |
|
2010
|
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential. Zbl 1498.35190
Colbois, Bruno; Provenzano, Luigi; Savo, Alessandro |
|
2022
|
Uniform stability of the Dirichlet spectrum for rough outer perturbations. Zbl 1294.35045
Colbois, Bruno; Girouard, Alexandre; Iversen, Mette |
|
2013
|
Upper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains. Zbl 1470.35148
Colbois, Bruno; Savo, Alessandro |
|
2021
|
Some smooth Finsler deformations of hyperbolic surfaces. Zbl 1171.53047
Colbois, Bruno; Newberger, Florence; Verovic, Patrick |
|
2009
|
Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry. Zbl 1173.53035
Colbois, B.; Vernicos, C.; Verovic, P. |
|
2008
|
Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains. Zbl 1461.58011
Colbois, Bruno; Savo, Alessandro |
|
2021
|
Rigidity of Hilbert metrics. Zbl 1007.53055
Colbois, Bruno; Verovic, Patrick |
|
2002
|
A Payne-Polya-Weinberger type inequality for the rough Laplacian.
(Une inégalité du type Payne-Polya-Weinberger pour le laplacien brut.) Zbl 1066.58015
Colbois, Bruno |
|
2003
|
Hilbert geometries have bounded local geometry.
(Les géométries de Hilbert sont à géométrie locale bornée.) Zbl 1123.53022
Colbois, Bruno; Vernicos, Constantin |
|
2007
|
Conformal spectrum and extremal metrics.
(Spectre conforme et métriques extrémales.) Zbl 1069.58017
Colbois, Bruno |
|
2004
|
Large eigenvalues and concentration. Zbl 1230.58022
Colbois, Bruno; Savo, Alessandro |
|
2011
|
Some recent developments on the Steklov eigenvalue problem. Zbl 1532.58004
Colbois, Bruno; Girouard, Alexandre; Gordon, Carolyn; Sher, David |
|
2024
|
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index. Zbl 1472.35252
Colbois, Bruno; Gittins, Katie |
|
2021
|
Eigenvalue pinching on convex domains in space forms. Zbl 1171.35088
Aubry, Erwann; Bertrand, Jérôme; Colbois, Bruno |
|
2009
|
Asymptotic estimates of the first eigenvalue of the \(p\)-Laplacian. Zbl 1042.58016
Colbois, Bruno; Matei, Ana-Maria |
|
2003
|
Conformal upper bounds for the eigenvalues of the \(p\)-Laplacian. Zbl 1507.35122
Colbois, Bruno; Provenzano, Luigi |
|
2021
|
Geometric bounds for the magnetic Neumann eigenvalues in the plane. Zbl 1531.35193
Colbois, Bruno; Léna, Corentin; Provenzano, Luigi; Savo, Alessandro |
|
2023
|
Two properties of volume growth entropy in Hilbert geometry. Zbl 1305.53028
Colbois, Bruno; Verovic, Patrick |
|
2014
|
Hypersurfaces with prescribed boundary and small Steklov eigenvalues. Zbl 1433.35205
Colbois, Bruno; Girouard, Alexandre; Métras, Antoine |
|
2020
|
Involutive isometries, eigenvalue bounds and a spectral property of Clifford tori. Zbl 1269.58012
Colbois, Bruno; Savo, Alessandro |
|
2012
|
On the optimality of J. Cheeger and P. Buser inequalities. Zbl 1035.58018
Colbois, B.; Matei, A.-M. |
|
2003
|
A propos de la multiplicité de la première valeur propre du laplacien d’une surface de Riemann. (On the multiplicity of the first eigenvalue of the Laplacian on a Riemann surface). Zbl 0574.53029
Burger, Marc; Colbois, Bruno |
|
1985
|
Laplacian and spectral gap in regular Hilbert geometries. Zbl 1387.53097
Barthelmé, Thomas; Colbois, Bruno; Crampon, Mickaël; Verovic, Patrick |
|
2014
|
Some recent developments on the Steklov eigenvalue problem. Zbl 1532.58004
Colbois, Bruno; Girouard, Alexandre; Gordon, Carolyn; Sher, David |
|
2024
|
Geometric bounds for the magnetic Neumann eigenvalues in the plane. Zbl 1531.35193
Colbois, Bruno; Léna, Corentin; Provenzano, Luigi; Savo, Alessandro |
|
2023
|
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results. Zbl 1491.35298
Colbois, Bruno; Provenzano, Luigi |
|
2022
|
Eigenvalues upper bounds for the magnetic Schrödinger operator. Zbl 1518.58005
Colbois, Bruno; El Soufi, Ahmad; Ilias, Saïd; Savo, Alessandro |
|
2022
|
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential. Zbl 1498.35190
Colbois, Bruno; Provenzano, Luigi; Savo, Alessandro |
|
2022
|
Sharp Steklov upper bound for submanifolds of revolution. Zbl 1482.35142
Colbois, Bruno; Verma, Sheela |
|
2021
|
Upper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains. Zbl 1470.35148
Colbois, Bruno; Savo, Alessandro |
|
2021
|
Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains. Zbl 1461.58011
Colbois, Bruno; Savo, Alessandro |
|
2021
|
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index. Zbl 1472.35252
Colbois, Bruno; Gittins, Katie |
|
2021
|
Conformal upper bounds for the eigenvalues of the \(p\)-Laplacian. Zbl 1507.35122
Colbois, Bruno; Provenzano, Luigi |
|
2021
|
The Steklov and Laplacian spectra of Riemannian manifolds with boundary. Zbl 1432.35148
Colbois, Bruno; Girouard, Alexandre; Hassannezhad, Asma |
|
2020
|
Hypersurfaces with prescribed boundary and small Steklov eigenvalues. Zbl 1433.35205
Colbois, Bruno; Girouard, Alexandre; Métras, Antoine |
|
2020
|
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. Zbl 1423.35273
Colbois, Bruno; Girouard, Alexandre; Gittins, Katie |
|
2019
|
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 1483.58007
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre |
|
2019
|
Spectrum of the Laplacian with weights. Zbl 1408.35105
Colbois, Bruno; El Soufi, Ahmad |
|
2019
|
The Steklov spectrum and coarse discretizations of manifolds with boundary. Zbl 1457.58007
Colbois, Bruno; Girouard, Alexandre; Raveendran, Binoy |
|
2018
|
Eigenvalues of elliptic operators with density. Zbl 1388.35136
Colbois, Bruno; Provenzano, Luigi |
|
2018
|
Lower bounds for the first eigenvalue of the magnetic Laplacian. Zbl 1386.58013
Colbois, Bruno; Savo, Alessandro |
|
2018
|
The spectrum of the Laplacian: A geometric approach. Zbl 1386.35293
Colbois, Bruno |
|
2017
|
Eigenvalues of the Laplacian on a compact manifold with density. Zbl 1317.58031
Colbois, Bruno; El Soufi, Ahmad; Savo, Alessandro |
|
2015
|
Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces. Zbl 1301.35063
Colbois, Bruno; El Soufi, Ahmad |
|
2014
|
The spectral gap of graphs and Steklov eigenvalues on surfaces. Zbl 1286.58020
Colbois, Bruno; Girouard, Alexandre |
|
2014
|
Two properties of volume growth entropy in Hilbert geometry. Zbl 1305.53028
Colbois, Bruno; Verovic, Patrick |
|
2014
|
Laplacian and spectral gap in regular Hilbert geometries. Zbl 1387.53097
Barthelmé, Thomas; Colbois, Bruno; Crampon, Mickaël; Verovic, Patrick |
|
2014
|
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre |
|
2013
|
Eigenvalue control for a Finsler-Laplace operator. Zbl 1272.53063
Barthelmé, Thomas; Colbois, Bruno |
|
2013
|
Uniform stability of the Dirichlet spectrum for rough outer perturbations. Zbl 1294.35045
Colbois, Bruno; Girouard, Alexandre; Iversen, Mette |
|
2013
|
Involutive isometries, eigenvalue bounds and a spectral property of Clifford tori. Zbl 1269.58012
Colbois, Bruno; Savo, Alessandro |
|
2012
|
Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre |
|
2011
|
Hilbert geometry for convex polygonal domains. Zbl 1232.53059
Colbois, Bruno; Vernicos, Constantin; Verovic, Patrick |
|
2011
|
Hilbert domains that admit a quasi-isometric embedding into Euclidean space. Zbl 1220.53089
Colbois, Bruno; Verovic, Patrick |
|
2011
|
Large eigenvalues and concentration. Zbl 1230.58022
Colbois, Bruno; Savo, Alessandro |
|
2011
|
Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds. Zbl 1187.58027
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad |
|
2010
|
Eigenvalue estimate for the rough Laplacian on differential forms. Zbl 1193.35111
Colbois, Bruno; Maerten, Daniel |
|
2010
|
Some smooth Finsler deformations of hyperbolic surfaces. Zbl 1171.53047
Colbois, Bruno; Newberger, Florence; Verovic, Patrick |
|
2009
|
Eigenvalue pinching on convex domains in space forms. Zbl 1171.35088
Aubry, Erwann; Bertrand, Jérôme; Colbois, Bruno |
|
2009
|
Eigenvalues estimate for the Neumann problem of a bounded domain. Zbl 1158.58014
Colbois, Bruno; Maerten, Daniel |
|
2008
|
Extremal \(G\)-invariant eigenvalues of the Laplacian of \(G\)-invariant metrics. Zbl 1127.58026
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad |
|
2008
|
Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry. Zbl 1173.53035
Colbois, B.; Vernicos, C.; Verovic, P. |
|
2008
|
A pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space. Zbl 1112.53003
Colbois, Bruno; Grosjean, Jean-François |
|
2007
|
Hilbert geometries have bounded local geometry.
(Les géométries de Hilbert sont à géométrie locale bornée.) Zbl 1123.53022
Colbois, Bruno; Vernicos, Constantin |
|
2007
|
Capacity and Faber-Krahn inequality in \(\mathbb R^{n}\).
(Capacité et inégalité de Faber-Krahn dans \(\mathbb R^{n}\).) Zbl 1100.31005
Bertrand, J.; Colbois, B. |
|
2006
|
Bottom of the spectrum and delta hyperbolicity in plane Hilbert geometry.
(Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane.) Zbl 1117.53034
Colbois, Bruno; Vernicos, Constantin |
|
2006
|
Eigenvalues of the Laplacian acting on \(p\)-forms and metric conformal deformations. Zbl 1095.35013
Colbois, Bruno; El Soufi, Ahmad |
|
2006
|
Hilbert geometry for strictly convex domains. Zbl 1078.52002
Colbois, Bruno; Verovic, Patrick |
|
2004
|
The area of ideal triangles in Hilbert geometry.
(L’ aire des triangles idéaux en géometrie de Hilbert.) Zbl 1079.53110
Colbois, B.; Vernicos, C.; Verovic, P. |
|
2004
|
Conformal spectrum and extremal metrics.
(Spectre conforme et métriques extrémales.) Zbl 1069.58017
Colbois, Bruno |
|
2004
|
Extremal eigenvalues of the Laplacian in a conformal class of metrics: the ‘conformal spectrum’. Zbl 1036.58026
Colbois, Bruno; El Soufi, Ahmad |
|
2003
|
Curvature, Harnack’s inequality, and a spectral characterization of nilmanifolds. Zbl 1026.58021
Aubry, Erwann; Colbois, Bruno; Ghanaat, Patrick; Ruh, Ernst A. |
|
2003
|
A Payne-Polya-Weinberger type inequality for the rough Laplacian.
(Une inégalité du type Payne-Polya-Weinberger pour le laplacien brut.) Zbl 1066.58015
Colbois, Bruno |
|
2003
|
Asymptotic estimates of the first eigenvalue of the \(p\)-Laplacian. Zbl 1042.58016
Colbois, Bruno; Matei, Ana-Maria |
|
2003
|
On the optimality of J. Cheeger and P. Buser inequalities. Zbl 1035.58018
Colbois, B.; Matei, A.-M. |
|
2003
|
Rigidity of Hilbert metrics. Zbl 1007.53055
Colbois, Bruno; Verovic, Patrick |
|
2002
|
Small eigenvalues and the Euler class of \(S^1\)-bundles.
(Petites valeurs propres et classe d’Euler des \(S^1\)-fibrés.) Zbl 0968.58001
Colbois, Bruno; Courtois, Gilles |
|
2000
|
Sur la multiplicité de la première valeur propre de l’opérateur de Schrödinger avec champ magnétique sur la sphère \(S^2\). (On the multiplicity of the first eigenvalue of the Schrödinger operator with magnetic field on the sphere \(S^2\)). Zbl 0903.58060
Besson, Gérard; Colbois, Bruno; Courtois, Gilles |
|
1998
|
Spectrum of the Laplacian acting on differential \(p\)-forms, and down breaking handles.
(Spectre du Laplacien agissant sur les \(p\)-formes différentielles et écrasement d’anses.) Zbl 0909.58054
Anné, Colette; Colbois, Bruno |
|
1995
|
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J. |
|
1994
|
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J. |
|
1993
|
Hodge-Laplace operator on compact manifolds deprived of a finite number of balls.
(Opérateur de Hodge-Laplace sur des variétés compactes privées d’un nombre fini de boules.) Zbl 0791.58018
Anné, Colette; Colbois, Bruno |
|
1993
|
Convergence de variétés et convergence du spectre du laplacien. (Convergence of manifolds and convergence of the spectrum of the Laplacian). Zbl 0754.58040
Colbois, B.; Courtois, G. |
|
1991
|
A note on the first nonzero eigenvalue of the Laplacian acting on p- forms. Zbl 0709.53031
Colbois, Bruno; Courtois, Gilles |
|
1990
|
Les valeurs propres inférieures à 1/4 des surfaces de Riemann de petit rayon d’injectivité. (Eigenvalues smaller than 1/4 of Riemann surfaces with small injectivity radius). Zbl 0684.53040
Colbois, Bruno; Courtois, Gilles |
|
1989
|
Sur la multiplicité de la première valeur propre d’une surface de Riemann à courbure constante. (On the multiplicity of the first eigenvalue of a Riemannian surface of constant curvature). Zbl 0656.53043
Colbois, B.; Colin de Verdière, Yves |
|
1988
|
Petites valeurs propres du laplacien sur une surface de Riemann compacte et graphes. (Small eigenvalues of the Laplacian on a compact Riemann surface and graphs). Zbl 0582.53034
Colbois, Bruno |
|
1985
|
A propos de la multiplicité de la première valeur propre du laplacien d’une surface de Riemann. (On the multiplicity of the first eigenvalue of the Laplacian on a Riemann surface). Zbl 0574.53029
Burger, Marc; Colbois, Bruno |
|
1985
|
