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Author ID: colbois.bruno Recent zbMATH articles by "Colbois, Bruno"
Published as: Colbois, Bruno; Colbois, B.
External Links: MGP
all top 5

Serials

6 Journal of Functional Analysis
6 Annals of Global Analysis and Geometry
6 The Journal of Geometric Analysis
4 Proceedings of the American Mathematical Society
3 Commentarii Mathematici Helvetici
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Geometriae Dedicata
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Differential Geometry and its Applications
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Communications in Analysis and Geometry
1 Bulletin of the Australian Mathematical Society
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Pacific Journal of Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Elemente der Mathematik
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Calculus of Variations and Partial Differential Equations
1 Revista Matemática Complutense
1 Advances in Geometry
1 Advanced Nonlinear Studies
1 Pure and Applied Mathematics Quarterly
1 Electronic Research Announcements in Mathematical Sciences
1 Journal of Spectral Theory

Publications by Year

Citations contained in zbMATH Open

65 Publications have been cited 557 times in 316 Documents Cited by Year
Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
51
2011
Extremal eigenvalues of the Laplacian in a conformal class of metrics: the ‘conformal spectrum’. Zbl 1036.58026
Colbois, Bruno; El Soufi, Ahmad
44
2003
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J.
36
1994
Eigenvalues estimate for the Neumann problem of a bounded domain. Zbl 1158.58014
Colbois, Bruno; Maerten, Daniel
16
2008
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. Zbl 1423.35273
Colbois, Bruno; Girouard, Alexandre; Gittins, Katie
16
2019
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
16
1989
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
15
1995
Eigenvalues of the Laplacian on a compact manifold with density. Zbl 1317.58031
Colbois, Bruno; El Soufi, Ahmad; Savo, Alessandro
15
2015
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
15
2013
The Steklov spectrum and coarse discretizations of manifolds with boundary. Zbl 1457.58007
Colbois, Bruno; Girouard, Alexandre; Raveendran, Binoy
15
2018
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.
14
2004
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
14
1988
Hilbert geometry for strictly convex domains. Zbl 1078.52002
Colbois, Bruno; Verovic, Patrick
14
2004
Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces. Zbl 1301.35063
Colbois, Bruno; El Soufi, Ahmad
14
2014
Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds. Zbl 1187.58027
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
14
2010
A pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space. Zbl 1112.53003
Colbois, Bruno; Grosjean, Jean-François
13
2007
A note on the first nonzero eigenvalue of the Laplacian acting on p- forms. Zbl 0709.53031
Colbois, Bruno; Courtois, Gilles
13
1990
The Steklov and Laplacian spectra of Riemannian manifolds with boundary. Zbl 1432.35148
Colbois, Bruno; Girouard, Alexandre; Hassannezhad, Asma
12
2020
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.
11
1991
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 1483.58007
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
10
2019
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J.
9
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
9
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.
9
2006
Eigenvalues of elliptic operators with density. Zbl 1388.35136
Colbois, Bruno; Provenzano, Luigi
9
2018
Hilbert geometry for convex polygonal domains. Zbl 1232.53059
Colbois, Bruno; Vernicos, Constantin; Verovic, Patrick
8
2011
Spectrum of the Laplacian with weights. Zbl 1408.35105
Colbois, Bruno; El Soufi, Ahmad
8
2019
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
8
2006
Lower bounds for the first eigenvalue of the magnetic Laplacian. Zbl 1386.58013
Colbois, Bruno; Savo, Alessandro
8
2018
Eigenvalues of the Laplacian acting on \(p\)-forms and metric conformal deformations. Zbl 1095.35013
Colbois, Bruno; El Soufi, Ahmad
7
2006
Curvature, Harnack’s inequality, and a spectral characterization of nilmanifolds. Zbl 1026.58021
Aubry, Erwann; Colbois, Bruno; Ghanaat, Patrick; Ruh, Ernst A.
7
2003
Extremal \(G\)-invariant eigenvalues of the Laplacian of \(G\)-invariant metrics. Zbl 1127.58026
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
7
2008
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
6
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
6
1998
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
5
1985
The spectral gap of graphs and Steklov eigenvalues on surfaces. Zbl 1286.58020
Colbois, Bruno; Girouard, Alexandre
5
2014
Eigenvalues upper bounds for the magnetic Schrödinger operator. Zbl 1518.58005
Colbois, Bruno; El Soufi, Ahmad; Ilias, Saïd; Savo, Alessandro
5
2022
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results. Zbl 1491.35298
Colbois, Bruno; Provenzano, Luigi
5
2022
Sharp Steklov upper bound for submanifolds of revolution. Zbl 1482.35142
Colbois, Bruno; Verma, Sheela
5
2021
The spectrum of the Laplacian: A geometric approach. Zbl 1386.35293
Colbois, Bruno
5
2017
Hilbert domains that admit a quasi-isometric embedding into Euclidean space. Zbl 1220.53089
Colbois, Bruno; Verovic, Patrick
4
2011
Eigenvalue control for a Finsler-Laplace operator. Zbl 1272.53063
Barthelmé, Thomas; Colbois, Bruno
4
2013
Rigidity of Hilbert metrics. Zbl 1007.53055
Colbois, Bruno; Verovic, Patrick
3
2002
Eigenvalue estimate for the rough Laplacian on differential forms. Zbl 1193.35111
Colbois, Bruno; Maerten, Daniel
3
2010
Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry. Zbl 1173.53035
Colbois, B.; Vernicos, C.; Verovic, P.
3
2008
Some smooth Finsler deformations of hyperbolic surfaces. Zbl 1171.53047
Colbois, Bruno; Newberger, Florence; Verovic, Patrick
3
2009
Conformal spectrum and extremal metrics. (Spectre conforme et métriques extrémales.) Zbl 1069.58017
Colbois, Bruno
3
2004
Uniform stability of the Dirichlet spectrum for rough outer perturbations. Zbl 1294.35045
Colbois, Bruno; Girouard, Alexandre; Iversen, Mette
3
2013
Large eigenvalues and concentration. Zbl 1230.58022
Colbois, Bruno; Savo, Alessandro
3
2011
Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains. Zbl 1461.58011
Colbois, Bruno; Savo, Alessandro
3
2021
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
3
2003
Hilbert geometries have bounded local geometry. (Les géométries de Hilbert sont à géométrie locale bornée.) Zbl 1123.53022
Colbois, Bruno; Vernicos, Constantin
3
2007
Eigenvalue pinching on convex domains in space forms. Zbl 1171.35088
Aubry, Erwann; Bertrand, Jérôme; Colbois, Bruno
2
2009
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index. Zbl 1472.35252
Colbois, Bruno; Gittins, Katie
2
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
2
2021
Asymptotic estimates of the first eigenvalue of the \(p\)-Laplacian. Zbl 1042.58016
Colbois, Bruno; Matei, Ana-Maria
2
2003
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential. Zbl 1498.35190
Colbois, Bruno; Provenzano, Luigi; Savo, Alessandro
2
2022
Conformal upper bounds for the eigenvalues of the \(p\)-Laplacian. Zbl 1507.35122
Colbois, Bruno; Provenzano, Luigi
2
2021
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
1
1985
Laplacian and spectral gap in regular Hilbert geometries. Zbl 1387.53097
Barthelmé, Thomas; Colbois, Bruno; Crampon, Mickaël; Verovic, Patrick
1
2014
On the optimality of J. Cheeger and P. Buser inequalities. Zbl 1035.58018
Colbois, B.; Matei, A.-M.
1
2003
Two properties of volume growth entropy in Hilbert geometry. Zbl 1305.53028
Colbois, Bruno; Verovic, Patrick
1
2014
Involutive isometries, eigenvalue bounds and a spectral property of Clifford tori. Zbl 1269.58012
Colbois, Bruno; Savo, Alessandro
1
2012
Hypersurfaces with prescribed boundary and small Steklov eigenvalues. Zbl 1433.35205
Colbois, Bruno; Girouard, Alexandre; Métras, Antoine
1
2020
Geometric bounds for the magnetic Neumann eigenvalues in the plane. Zbl 1531.35193
Colbois, Bruno; Léna, Corentin; Provenzano, Luigi; Savo, Alessandro
1
2023
Some recent developments on the Steklov eigenvalue problem. Zbl 1532.58004
Colbois, Bruno; Girouard, Alexandre; Gordon, Carolyn; Sher, David
1
2024
Some recent developments on the Steklov eigenvalue problem. Zbl 1532.58004
Colbois, Bruno; Girouard, Alexandre; Gordon, Carolyn; Sher, David
1
2024
Geometric bounds for the magnetic Neumann eigenvalues in the plane. Zbl 1531.35193
Colbois, Bruno; Léna, Corentin; Provenzano, Luigi; Savo, Alessandro
1
2023
Eigenvalues upper bounds for the magnetic Schrödinger operator. Zbl 1518.58005
Colbois, Bruno; El Soufi, Ahmad; Ilias, Saïd; Savo, Alessandro
5
2022
Neumann eigenvalues of the biharmonic operator on domains: geometric bounds and related results. Zbl 1491.35298
Colbois, Bruno; Provenzano, Luigi
5
2022
Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential. Zbl 1498.35190
Colbois, Bruno; Provenzano, Luigi; Savo, Alessandro
2
2022
Sharp Steklov upper bound for submanifolds of revolution. Zbl 1482.35142
Colbois, Bruno; Verma, Sheela
5
2021
Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains. Zbl 1461.58011
Colbois, Bruno; Savo, Alessandro
3
2021
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index. Zbl 1472.35252
Colbois, Bruno; Gittins, Katie
2
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
2
2021
Conformal upper bounds for the eigenvalues of the \(p\)-Laplacian. Zbl 1507.35122
Colbois, Bruno; Provenzano, Luigi
2
2021
The Steklov and Laplacian spectra of Riemannian manifolds with boundary. Zbl 1432.35148
Colbois, Bruno; Girouard, Alexandre; Hassannezhad, Asma
12
2020
Hypersurfaces with prescribed boundary and small Steklov eigenvalues. Zbl 1433.35205
Colbois, Bruno; Girouard, Alexandre; Métras, Antoine
1
2020
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. Zbl 1423.35273
Colbois, Bruno; Girouard, Alexandre; Gittins, Katie
16
2019
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 1483.58007
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
10
2019
Spectrum of the Laplacian with weights. Zbl 1408.35105
Colbois, Bruno; El Soufi, Ahmad
8
2019
The Steklov spectrum and coarse discretizations of manifolds with boundary. Zbl 1457.58007
Colbois, Bruno; Girouard, Alexandre; Raveendran, Binoy
15
2018
Eigenvalues of elliptic operators with density. Zbl 1388.35136
Colbois, Bruno; Provenzano, Luigi
9
2018
Lower bounds for the first eigenvalue of the magnetic Laplacian. Zbl 1386.58013
Colbois, Bruno; Savo, Alessandro
8
2018
The spectrum of the Laplacian: A geometric approach. Zbl 1386.35293
Colbois, Bruno
5
2017
Eigenvalues of the Laplacian on a compact manifold with density. Zbl 1317.58031
Colbois, Bruno; El Soufi, Ahmad; Savo, Alessandro
15
2015
Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces. Zbl 1301.35063
Colbois, Bruno; El Soufi, Ahmad
14
2014
The spectral gap of graphs and Steklov eigenvalues on surfaces. Zbl 1286.58020
Colbois, Bruno; Girouard, Alexandre
5
2014
Laplacian and spectral gap in regular Hilbert geometries. Zbl 1387.53097
Barthelmé, Thomas; Colbois, Bruno; Crampon, Mickaël; Verovic, Patrick
1
2014
Two properties of volume growth entropy in Hilbert geometry. Zbl 1305.53028
Colbois, Bruno; Verovic, Patrick
1
2014
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
15
2013
Eigenvalue control for a Finsler-Laplace operator. Zbl 1272.53063
Barthelmé, Thomas; Colbois, Bruno
4
2013
Uniform stability of the Dirichlet spectrum for rough outer perturbations. Zbl 1294.35045
Colbois, Bruno; Girouard, Alexandre; Iversen, Mette
3
2013
Involutive isometries, eigenvalue bounds and a spectral property of Clifford tori. Zbl 1269.58012
Colbois, Bruno; Savo, Alessandro
1
2012
Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
51
2011
Hilbert geometry for convex polygonal domains. Zbl 1232.53059
Colbois, Bruno; Vernicos, Constantin; Verovic, Patrick
8
2011
Hilbert domains that admit a quasi-isometric embedding into Euclidean space. Zbl 1220.53089
Colbois, Bruno; Verovic, Patrick
4
2011
Large eigenvalues and concentration. Zbl 1230.58022
Colbois, Bruno; Savo, Alessandro
3
2011
Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds. Zbl 1187.58027
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
14
2010
Eigenvalue estimate for the rough Laplacian on differential forms. Zbl 1193.35111
Colbois, Bruno; Maerten, Daniel
3
2010
Some smooth Finsler deformations of hyperbolic surfaces. Zbl 1171.53047
Colbois, Bruno; Newberger, Florence; Verovic, Patrick
3
2009
Eigenvalue pinching on convex domains in space forms. Zbl 1171.35088
Aubry, Erwann; Bertrand, Jérôme; Colbois, Bruno
2
2009
Eigenvalues estimate for the Neumann problem of a bounded domain. Zbl 1158.58014
Colbois, Bruno; Maerten, Daniel
16
2008
Extremal \(G\)-invariant eigenvalues of the Laplacian of \(G\)-invariant metrics. Zbl 1127.58026
Colbois, Bruno; Dryden, Emily B.; El Soufi, Ahmad
7
2008
Area of ideal triangles and Gromov hyperbolicity in Hilbert geometry. Zbl 1173.53035
Colbois, B.; Vernicos, C.; Verovic, P.
3
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
13
2007
Hilbert geometries have bounded local geometry. (Les géométries de Hilbert sont à géométrie locale bornée.) Zbl 1123.53022
Colbois, Bruno; Vernicos, Constantin
3
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.
9
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
8
2006
Eigenvalues of the Laplacian acting on \(p\)-forms and metric conformal deformations. Zbl 1095.35013
Colbois, Bruno; El Soufi, Ahmad
7
2006
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.
14
2004
Hilbert geometry for strictly convex domains. Zbl 1078.52002
Colbois, Bruno; Verovic, Patrick
14
2004
Conformal spectrum and extremal metrics. (Spectre conforme et métriques extrémales.) Zbl 1069.58017
Colbois, Bruno
3
2004
Extremal eigenvalues of the Laplacian in a conformal class of metrics: the ‘conformal spectrum’. Zbl 1036.58026
Colbois, Bruno; El Soufi, Ahmad
44
2003
Curvature, Harnack’s inequality, and a spectral characterization of nilmanifolds. Zbl 1026.58021
Aubry, Erwann; Colbois, Bruno; Ghanaat, Patrick; Ruh, Ernst A.
7
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
3
2003
Asymptotic estimates of the first eigenvalue of the \(p\)-Laplacian. Zbl 1042.58016
Colbois, Bruno; Matei, Ana-Maria
2
2003
On the optimality of J. Cheeger and P. Buser inequalities. Zbl 1035.58018
Colbois, B.; Matei, A.-M.
1
2003
Rigidity of Hilbert metrics. Zbl 1007.53055
Colbois, Bruno; Verovic, Patrick
3
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
6
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
6
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
15
1995
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J.
36
1994
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J.
9
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
9
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.
11
1991
A note on the first nonzero eigenvalue of the Laplacian acting on p- forms. Zbl 0709.53031
Colbois, Bruno; Courtois, Gilles
13
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
16
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
14
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
5
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
1
1985
all top 5

Cited by 335 Authors

34 Colbois, Bruno
15 Girouard, Alexandre
10 El Soufi, Ahmad
9 Karpukhin, Mikhail A.
8 Freitas, Pedro
8 Jammes, Pierre
8 Provenzano, Luigi
8 Roth, Julien
7 Vernicos, Constantin
6 Bucur, Dorin
6 Gittins, Katie
6 Léna, Corentin
6 Polterovich, Iosif
5 Abatangelo, Laura
5 Hassannezhad, Asma
5 Jorgenson, Jay Alan
5 Marquis, Ludovic
5 Savo, Alessandro
5 Takahashi, Junya
5 Verovic, Patrick
5 Yu, Chengjie
4 Anné, Colette
4 Barthelmé, Thomas
4 Colin de Verdière, Yves
4 Crampon, Mickaël
4 Kokarev, Gerasim
4 Lagacé, Jean
4 Laugesen, Richard Snyder
4 Lundelius, Rolf E.
4 Matthiesen, Henrik
4 Mondal, Sugata
4 Petrides, Romain
4 Post, Olaf
4 Verma, Sheela
3 Antunes, Pedro Ricardo Simão
3 Bogoşel, Beniamin
3 Courtois, Gilles
3 Felli, Veronica
3 Habib, Georges
3 Harlim, John
3 Hu, Yingxiang
3 Ilias, Saïd
3 Jo, Kyeonghee
3 Musolino, Paolo
3 Penskoi, Alexei V.
3 Sher, David A.
3 Siffert, Anna
2 Adeboye, Ilesanmi
2 Ariturk, Sinan
2 Berchio, Elvise
2 Brisson, Jade
2 Burger, Marc
2 Buser, Peter
2 Domingo-Juan, M. Carmen
2 Exner, Pavel
2 Falliero, Thérèse
2 Falocchi, Alessio
2 Ferraresso, Francesco
2 Fortier Bourque, Maxime
2 Fraser, Ailana
2 Funano, Kei
2 Ghigi, Alessandro
2 Gordon, Carolyn S.
2 Guerini, Pierre
2 Hamenstädt, Ursula
2 He, Xiang
2 Helffer, Bernard
2 Henrot, Antoine
2 Hillairet, Luc
2 Ho, Pak Tung
2 Hua, Bobo
2 Ji, Lizhen
2 Jiang, Shixiao Willing
2 Kao, Chiu-Yen
2 Krejčiřík, David
2 Lamboley, Jimmy
2 Lott, John
2 Maerten, Daniel
2 Makover, Eran
2 Martinet, Eloi
2 Matei, Ana-Maria
2 Métras, Antoine
2 Miquel, Vicente
2 Mouayn, Zouhaïr
2 Mützel, Björn
2 Osting, Braxton
2 Perrin, Hélène
2 Scheuer, Julian
2 Schoen, Richard Melvin
2 Shi, Yongjie
2 Silhol, Robert
2 Stubbe, Joachim
2 Tschanz, Léonard
2 van den Berg, Michiel
2 Wang, Zuoqin
2 Xia, Changyu
2 Xu, Hongwei
1 Abbassi, Mohamed Tahar Kadaoui
1 Abbondandolo, Alberto
1 Agarwal, Ravi P.
...and 235 more Authors
all top 5

Cited in 113 Serials

24 The Journal of Geometric Analysis
14 Journal of Spectral Theory
13 Annals of Global Analysis and Geometry
12 Mathematische Zeitschrift
11 Proceedings of the American Mathematical Society
11 Calculus of Variations and Partial Differential Equations
10 Annales de l’Institut Fourier
10 Journal of Functional Analysis
8 Transactions of the American Mathematical Society
7 Duke Mathematical Journal
7 Geometriae Dedicata
7 Mathematische Annalen
7 Geometric and Functional Analysis. GAFA
6 Journal of Geometry and Physics
6 Manuscripta Mathematica
5 Advances in Mathematics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Mathematische Nachrichten
4 Inventiones Mathematicae
4 Differential Geometry and its Applications
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Physics
3 Applied Mathematics and Optimization
3 Archiv der Mathematik
3 Bulletin of the London Mathematical Society
3 Bulletin de la Société Mathématique de France
3 Journal of Differential Equations
3 SIAM Journal on Mathematical Analysis
3 Communications in Contemporary Mathematics
3 Annales Mathématiques du Québec
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Journal of Computational Physics
2 Mathematical Methods in the Applied Sciences
2 Canadian Journal of Mathematics
2 Compositio Mathematica
2 Illinois Journal of Mathematics
2 Journal of Geometry
2 Mathematika
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the London Mathematical Society. Third Series
2 Results in Mathematics
2 SIAM Journal on Control and Optimization
2 Tôhoku Mathematical Journal. Second Series
2 Communications in Partial Differential Equations
2 L’Enseignement Mathématique. 2e Série
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Potential Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Geometry & Topology
2 Advances in Geometry
2 Oberwolfach Reports
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Advances in Calculus of Variations
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Reports on Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Beiträge zur Algebra und Geometrie
1 American Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series B
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Psychology
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Quaestiones Mathematicae
1 Siberian Mathematical Journal
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 International Journal of Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Chinese Science Bulletin
1 The Journal of Analysis
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 Filomat
1 NoDEA. Nonlinear Differential Equations and Applications
1 Selecta Mathematica. New Series
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 Revista Matemática Complutense
1 Interfaces and Free Boundaries
1 Journal of the European Mathematical Society (JEMS)
...and 13 more Serials
all top 5

Cited in 40 Fields

185 Global analysis, analysis on manifolds (58-XX)
144 Partial differential equations (35-XX)
125 Differential geometry (53-XX)
22 Functions of a complex variable (30-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
16 Manifolds and cell complexes (57-XX)
14 Operator theory (47-XX)
13 Geometry (51-XX)
12 Potential theory (31-XX)
12 Several complex variables and analytic spaces (32-XX)
12 Convex and discrete geometry (52-XX)
10 Combinatorics (05-XX)
7 Number theory (11-XX)
7 Mechanics of deformable solids (74-XX)
7 Quantum theory (81-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Group theory and generalizations (20-XX)
5 Topological groups, Lie groups (22-XX)
5 Measure and integration (28-XX)
5 Numerical analysis (65-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Functional analysis (46-XX)
3 Algebraic geometry (14-XX)
3 Ordinary differential equations (34-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-XX)
2 Difference and functional equations (39-XX)
2 Probability theory and stochastic processes (60-XX)
2 Operations research, mathematical programming (90-XX)
1 History and biography (01-XX)
1 Special functions (33-XX)
1 Integral equations (45-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year