Alexandre Girouard
Alexandre Girouard
Département de mathématiques et de statistique, Université Laval
Verified email at mat.ulaval.ca - Homepage
TitleCited byYear
Spectral geometry of the Steklov problem (survey article)
A Girouard, I Polterovich
Journal of Spectral Theory 7 (2), 321-360, 2017
105*2017
Isoperimetric control of the Steklov spectrum
B Colbois, A El Soufi, A Girouard
Journal of Functional Analysis 261 (5), 1384-1399, 2011
642011
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
472009
Shape optimization for low Neumann and Steklov eigenvalues
A Girouard, I Polterovich
Mathematical Methods in the Applied Sciences 33 (4), 501-516, 2010
432010
Upper bounds for Steklov eigenvalues on surfaces
A Girouard, I Polterovich
arXiv preprint arXiv:1202.5108, 2012
332012
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
312010
On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues
A Girouard, I Polterovich
Functional Analysis and its Applications 44 (2), 106-117, 2010
272010
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
262014
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
232013
Fundamental tone, concentration of density, and conformal degeneration on surfaces
A Girouard
Canadian Journal of Mathematics 61 (3), 548-565, 2009
162009
Steklov eigenvalues and quasiconformal maps of simply connected planar domains
A Girouard, RS Laugesen, BA Siudeja
Archive for Rational Mechanics and Analysis 219 (2), 903-936, 2016
142016
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space
B Colbois, A Girouard, K Gittins
The Journal of Geometric Analysis 29 (2), 1811-1834, 2019
82019
Compact manifolds with fixed boundary and large Steklov eigenvalues
B Colbois, A El Soufi, A Girouard
Proceedings of the American Mathematical Society, 2019
82019
The spectral gap of graphs and Steklov eigenvalues on surfaces
B Colbois, A Girouard
arXiv preprint arXiv:1310.2869, 2013
82013
The Steklov and Laplacian spectra of Riemannian manifolds with boundary
B Colbois, A Girouard, A Hassannezhad
Journal of Functional Analysis, 108409, 2019
72019
The Steklov spectrum of cuboids
A Girouard, J Lagacé, I Polterovich, A Savo
Mathematika 65 (2), 272-310, 2019
72019
Uniform stability of the Dirichlet spectrum for rough outer perturbations
B Colbois, A Girouard, M Iversen
arXiv preprint arXiv:1206.2616, 2012
72012
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
52018
The Steklov spectrum and coarse discretizations of manifolds with boundary
B Colbois, A Girouard, B Raveendran
arXiv preprint arXiv:1612.07665, 2016
52016
Relative homological linking in critical point theory
A Girouard
Topological Methods in Nonlinear Analysis 30 (2), 211-221, 2007
22007
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Articles 1–20