Spectral geometry of the Steklov problem (survey article) A Girouard, I Polterovich Journal of Spectral Theory 7 (2), 321-359, 2017 | 277 | 2017 |
Isoperimetric control of the Steklov spectrum B Colbois, A El Soufi, A Girouard Journal of Functional Analysis 261 (5), 1384-1399, 2011 | 108 | 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 | 75 | 2009 |
Shape optimization for low Neumann and Steklov eigenvalues A Girouard, I Polterovich Mathematical methods in the applied sciences 33 (4), 501-516, 2010 | 60 | 2010 |
Upper bounds for Steklov eigenvalues on surfaces A Girouard, I Polterovich arXiv preprint arXiv:1202.5108, 2012 | 54 | 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 | 51 | 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 | 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 | 42 | 2010 |
Some recent developments on the Steklov eigenvalue problem B Colbois, A Girouard, C Gordon, D Sher Revista Matemática Complutense 37 (1), 1-161, 2024 | 35 | 2024 |
Large Steklov eigenvalues via homogenisation on manifolds A Girouard, J Lagacé Inventiones mathematicae 226 (3), 1011-1056, 2021 | 32 | 2021 |
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 | 32 | 2019 |
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 | 32 | 2013 |
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 | 27 | 2022 |
The Steklov spectrum and coarse discretizations of manifolds with boundary B Colbois, A Girouard, B Raveendran arXiv preprint arXiv:1612.07665, 2016 | 27 | 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 | 25 | 2019 |
The Steklov and Laplacian spectra of Riemannian manifolds with boundary B Colbois, A Girouard, A Hassannezhad Journal of Functional Analysis 278 (6), 108409, 2020 | 22 | 2020 |
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 | 21 | 2021 |
Fundamental tone, concentration of density, and conformal degeneration on surfaces A Girouard Canadian Journal of Mathematics 61 (3), 548-565, 2009 | 21 | 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 | 18 | 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 | 17 | 2018 |