Alexandre Girouard
Alexandre Girouard
Département de mathématiques et de statistique, Université Laval
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Cited by
Cited by
Spectral geometry of the Steklov problem (survey article)
A Girouard, I Polterovich
Journal of Spectral Theory 7 (2), 321-359, 2017
Isoperimetric control of the Steklov spectrum
B Colbois, A El Soufi, A Girouard
Journal of Functional Analysis 261 (5), 1384-1399, 2011
Maximization of the second positive Neumann eigenvalue for planar domains
A Girouard, N Nadirashvili, I Polterovich
Journal of Differential Geometry 83 (3), 637-662, 2009
Shape optimization for low Neumann and Steklov eigenvalues
A Girouard, I Polterovich
Mathematical methods in the applied sciences 33 (4), 501-516, 2010
Upper bounds for Steklov eigenvalues on surfaces
A Girouard, I Polterovich
arXiv preprint arXiv:1202.5108, 2012
The Steklov spectrum of surfaces: asymptotics and invariants
A Girouard, L Parnovski, I Polterovich, DA Sher
Mathematical Proceedings of the Cambridge Philosophical Society 157 (3), 379-389, 2014
On the Hersch-Payne-Schiffer estimates for the eigenvalues of the Steklov problem
A Girouard, I Polterovich
Funktsional. Anal. i Prilozhen 44 (2), 33-47, 2010
On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues
A Girouard, I Polterovich
Functional Analysis and its Applications 44 (2), 106-117, 2010
Isoperimetric control of the spectrum of a compact hypersurface
B Colbois, A El Soufi, A Girouard
Journal für die reine und angewandte Mathematik (Crelles Journal) 2013 (683 …, 2013
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space
B Colbois, A Girouard, K Gittins
The Journal of Geometric Analysis 29, 1811-1834, 2019
Large Steklov eigenvalues via homogenisation on manifolds
A Girouard, J Lagacé
Inventiones mathematicae 226 (3), 1011-1056, 2021
The Steklov spectrum and coarse discretizations of manifolds with boundary
B Colbois, A Girouard, B Raveendran
arXiv preprint arXiv:1612.07665, 2016
Compact manifolds with fixed boundary and large Steklov eigenvalues
B Colbois, A El Soufi, A Girouard
Proceedings of the American Mathematical Society 147 (9), 3813-3827, 2019
Some recent developments on the Steklov eigenvalue problem
B Colbois, A Girouard, C Gordon, D Sher
Revista Matemática Complutense 37 (1), 1-161, 2024
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript
A Girouard, M Karpukhin, M Levitin, I Polterovich
Journal of Spectral Theory 12 (1), 195-225, 2022
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems
A Girouard, M Karpukhin, J Lagacé
Geometric and Functional Analysis 31 (3), 513-561, 2021
The Steklov and Laplacian spectra of Riemannian manifolds with boundary
B Colbois, A Girouard, A Hassannezhad
Journal of Functional Analysis 278 (6), 108409, 2020
Fundamental tone, concentration of density, and conformal degeneration on surfaces
A Girouard
Canadian Journal of Mathematics 61 (3), 548-565, 2009
Steklov eigenvalues and quasiconformal maps of simply connected planar domains
A Girouard, RS Laugesen, BA Siudeja
Archive for Rational Mechanics and Analysis 219, 903-936, 2016
Large spectral gaps for Steklov eigenvalues under volume constraints and under localized conformal deformations
D Cianci, A Girouard
Annals of Global Analysis and Geometry 54 (4), 529-539, 2018
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