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Girouard, Alexandre

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Author ID: girouard.alexandre Recent zbMATH articles by "Girouard, Alexandre"
Published as: Girouard, Alexandre; Girouard, A.
Homepage: https://archimede.mat.ulaval.ca/agirouard/
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Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 338 times in 163 Documents Cited by Year
Spectral geometry of the Steklov problem (survey article). Zbl 1378.58026
Girouard, Alexandre; Polterovich, Iosif
69
2017
Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
41
2011
On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues. Zbl 1217.35125
Girouard, A.; Polterovich, I.
33
2010
Maximization of the second positive Neumann eigenvalue for planar domains. Zbl 1186.35120
Girouard, Alexandre; Nadirashvili, Nikolai; Polterovich, Iosif
27
2009
Upper bounds for Steklov eigenvalues on surfaces. Zbl 1257.58019
Girouard, Alexandre; Polterovich, Iosif
23
2012
Shape optimization for low Neumann and Steklov eigenvalues. Zbl 1186.35121
Girouard, Alexandre; Polterovich, Iosif
20
2010
The Steklov spectrum of surfaces: asymptotics and invariants. Zbl 1317.58032
Girouard, Alexandre; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
16
2014
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
13
2013
Spectral geometry of the Steklov problem. Zbl 1375.49056
Girouard, Alexandre; Polterovich, Iosif
11
2017
The Steklov and Laplacian spectra of Riemannian manifolds with boundary. Zbl 1432.35148
Colbois, Bruno; Girouard, Alexandre; Hassannezhad, Asma
10
2020
Steklov eigenvalues and quasiconformal maps of simply connected planar domains. Zbl 1333.35274
Girouard, A.; Laugesen, R. S.; Siudeja, B. A.
9
2016
Fundamental tone, concentration of density, and conformal degeneration on surfaces. Zbl 1198.53039
Girouard, Alexandre
9
2009
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. Zbl 1423.35273
Colbois, Bruno; Girouard, Alexandre; Gittins, Katie
8
2019
Large spectral gaps for Steklov eigenvalues under volume constraints and under localized conformal deformations. Zbl 1405.58011
Cianci, Donato; Girouard, Alexandre
7
2018
The Steklov spectrum and coarse discretizations of manifolds with boundary. Zbl 1457.58007
Colbois, Bruno; Girouard, Alexandre; Raveendran, Binoy
7
2018
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 1483.58007
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
7
2019
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. Zbl 1480.35305
Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean
6
2021
The Steklov spectrum of cuboids. Zbl 1408.35111
Girouard, Alexandre; Lagacé, Jean; Polterovich, Iosif; Savo, Alessandro
6
2019
Robin spectrum: two disks maximize the third eigenvalue. Zbl 1482.35144
Girouard, Alexandre; Laugesen, R. S.
4
2021
Uniform stability of the Dirichlet spectrum for rough outer perturbations. Zbl 1294.35045
Colbois, Bruno; Girouard, Alexandre; Iversen, Mette
3
2013
Large Steklov eigenvalues via homogenisation on manifolds. Zbl 1477.58019
Girouard, Alexandre; Lagacé, Jean
3
2021
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
3
2021
The spectral gap of graphs and Steklov eigenvalues on surfaces. Zbl 1286.58020
Colbois, Bruno; Girouard, Alexandre
2
2014
Relative homological linking in critical point theory. Zbl 1149.58006
Girouard, Alexandre
1
2007
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. Zbl 1480.35305
Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean
6
2021
Robin spectrum: two disks maximize the third eigenvalue. Zbl 1482.35144
Girouard, Alexandre; Laugesen, R. S.
4
2021
Large Steklov eigenvalues via homogenisation on manifolds. Zbl 1477.58019
Girouard, Alexandre; Lagacé, Jean
3
2021
From Steklov to Neumann via homogenisation. Zbl 1458.35040
Girouard, Alexandre; Henrot, Antoine; Lagacé, Jean
3
2021
The Steklov and Laplacian spectra of Riemannian manifolds with boundary. Zbl 1432.35148
Colbois, Bruno; Girouard, Alexandre; Hassannezhad, Asma
10
2020
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space. Zbl 1423.35273
Colbois, Bruno; Girouard, Alexandre; Gittins, Katie
8
2019
Compact manifolds with fixed boundary and large Steklov eigenvalues. Zbl 1483.58007
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
7
2019
The Steklov spectrum of cuboids. Zbl 1408.35111
Girouard, Alexandre; Lagacé, Jean; Polterovich, Iosif; Savo, Alessandro
6
2019
Large spectral gaps for Steklov eigenvalues under volume constraints and under localized conformal deformations. Zbl 1405.58011
Cianci, Donato; Girouard, Alexandre
7
2018
The Steklov spectrum and coarse discretizations of manifolds with boundary. Zbl 1457.58007
Colbois, Bruno; Girouard, Alexandre; Raveendran, Binoy
7
2018
Spectral geometry of the Steklov problem (survey article). Zbl 1378.58026
Girouard, Alexandre; Polterovich, Iosif
69
2017
Spectral geometry of the Steklov problem. Zbl 1375.49056
Girouard, Alexandre; Polterovich, Iosif
11
2017
Steklov eigenvalues and quasiconformal maps of simply connected planar domains. Zbl 1333.35274
Girouard, A.; Laugesen, R. S.; Siudeja, B. A.
9
2016
The Steklov spectrum of surfaces: asymptotics and invariants. Zbl 1317.58032
Girouard, Alexandre; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
16
2014
The spectral gap of graphs and Steklov eigenvalues on surfaces. Zbl 1286.58020
Colbois, Bruno; Girouard, Alexandre
2
2014
Isoperimetric control of the spectrum of a compact hypersurface. Zbl 1282.58017
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
13
2013
Uniform stability of the Dirichlet spectrum for rough outer perturbations. Zbl 1294.35045
Colbois, Bruno; Girouard, Alexandre; Iversen, Mette
3
2013
Upper bounds for Steklov eigenvalues on surfaces. Zbl 1257.58019
Girouard, Alexandre; Polterovich, Iosif
23
2012
Isoperimetric control of the Steklov spectrum. Zbl 1235.58020
Colbois, Bruno; El Soufi, Ahmad; Girouard, Alexandre
41
2011
On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues. Zbl 1217.35125
Girouard, A.; Polterovich, I.
33
2010
Shape optimization for low Neumann and Steklov eigenvalues. Zbl 1186.35121
Girouard, Alexandre; Polterovich, Iosif
20
2010
Maximization of the second positive Neumann eigenvalue for planar domains. Zbl 1186.35120
Girouard, Alexandre; Nadirashvili, Nikolai; Polterovich, Iosif
27
2009
Fundamental tone, concentration of density, and conformal degeneration on surfaces. Zbl 1198.53039
Girouard, Alexandre
9
2009
Relative homological linking in critical point theory. Zbl 1149.58006
Girouard, Alexandre
1
2007
all top 5

Cited by 172 Authors

16 Girouard, Alexandre
13 Colbois, Bruno
10 Polterovich, Iosif
9 Karpukhin, Mikhail A.
7 Laugesen, Richard Snyder
6 Bucur, Dorin
6 Osting, Braxton
6 Yu, Chengjie
5 Cho, Manki
5 El Soufi, Ahmad
5 Fraser, Ailana M.
5 Kao, Chiu-Yen
5 Lagacé, Jean
5 Provenzano, Luigi
5 Schoen, Richard Melvin
4 Antunes, Pedro Ricardo Simão
4 Bogoşel, Beniamin
4 Gittins, Katie
4 Hassannezhad, Asma
4 Sher, David A.
4 Verma, Sheela
3 Freitas, Pedro
3 Henrot, Antoine
3 Ho, Pak Tung
3 Jammes, Pierre
3 Kokarev, Gerasim
3 Lamberti, Pier Domenico
3 Savo, Alessandro
3 Shi, Yongjie
3 Viator, Robert Jr.
2 Alhejaili, Weaam
2 Anoop, Thazhe Veetil
2 Auchmuty, Giles
2 Cianci, Donato
2 Domínguez, Sebastián
2 Enache, Cristian
2 Ferrero, Alberto
2 Galkowski, Jeffrey
2 Gendron, Germain
2 Giacomini, Alessandro
2 Kachmar, Ayman
2 Kleefeld, Andreas
2 Levitin, Michael R.
2 Métras, Antoine
2 Nahon, Mickaël
2 Nazarov, Sergeĭ Aleksandrovich
2 Nigam, Nilima
2 Parnovski, Leonid
2 Perrin, Hélène
2 Petrides, Romain
2 Philippin, Gérard A.
2 Rivas, Mauricio A.
2 Siffert, Anna
2 Siudeja, Bartłomiej Andrzej
2 Toth, John Andrew
2 Xiong, Changwei
2 Yang, Liangwei
2 Zhu, Jiuyi
1 Abele, Daniel
1 Akhmetgaliyev, Eldar
1 Al Sayed, Abdelkader
1 Ammari, Habib M.
1 Amrouche, Chérif
1 Arfi, Kevin
1 Armentano, María Gabriela
1 Band, Ram
1 Berkolaiko, Gregory
1 Bobkov, Vladimir E.
1 Brisson, Jade
1 Bruno, Oscar P.
1 Buoso, Davide
1 Cakoni, Fioralba
1 Cherednichenko, Kirill D.
1 Cito, Simone
1 Colton, David Lem
1 Conca, Carlos
1 Cox, Graham
1 Dalla Riva, Matteo
1 Daudé, Thierry
1 Degiovanni, Marco
1 Domingo-Juan, M. Carmen
1 Drábek, Pavel
1 Egger, Sebastian K.
1 Ershova, Yulia Yu.
1 Fan, Xu-Qian
1 Ferone, Vincenzo
1 Ftouh, Ilias
1 Gao, Jian
1 Georgiev, Bogdan
1 Ghosh, Amrita
1 Ghosh, Tuhin
1 Giacomini, Hector J.
1 Gómez, Delfina
1 González, María del Mar
1 Gordon, Carolyn S.
1 He, Yunbo
1 He, Zunwu
1 Helffer, Bernard
1 Herbrich, Peter
1 Heyden, S.
...and 72 more Authors
all top 5

Cited in 77 Serials

18 The Journal of Geometric Analysis
8 Calculus of Variations and Partial Differential Equations
7 Journal of Differential Equations
7 Journal of Functional Analysis
6 Journal of Spectral Theory
5 Proceedings of the American Mathematical Society
5 Annals of Global Analysis and Geometry
5 SIAM Journal on Mathematical Analysis
4 Journal of Mathematical Analysis and Applications
4 Journal of Computational and Applied Mathematics
3 Advances in Mathematics
3 Canadian Journal of Mathematics
3 Differential Geometry and its Applications
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Archive for Rational Mechanics and Analysis
2 Computers & Mathematics with Applications
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Indiana University Mathematics Journal
2 Inventiones Mathematicae
2 Journal of Differential Geometry
2 Manuscripta Mathematica
2 SIAM Journal on Control and Optimization
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Annales Mathématiques du Québec
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Integral Equations and Operator Theory
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Transactions of the American Mathematical Society
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Electronic Journal of Differential Equations (EJDE)
1 Engineering Analysis with Boundary Elements
1 The Journal of Fourier Analysis and Applications
1 Mathematics and Mechanics of Solids
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Revista Matemática Complutense
1 Communications in Contemporary Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Fixed Point Theory and Applications
1 Computational & Mathematical Methods in Medicine
1 Inverse Problems and Imaging
1 Electronic Research Announcements in Mathematical Sciences
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
1 Journal of Pseudo-Differential Operators and Applications
1 Symmetry
1 Research in the Mathematical Sciences
1 Proceedings of the American Mathematical Society. Series B

Citations by Year

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