Articles parus
1. A. Girouard, M. Karpukhin, M. Levitin, I. Polterovich
The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript,
To appear in M. Shubin memorial issue of Journal of Spectral Theory
(arXiv:2102.06594)
2. A. Girouard, M. Karpukhin, J. Lagacé
Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems,
Geometric and Functional Analysis: Published online.
(arXiv:2004.10784)
3. A. Girouard, J. Lagacé
Large Steklov eigenvalues via homogenisation on manifolds,
Inventiones mathematicae: Published online
(arXiv:2004.04044)
4. A. Girouard, A. Henrot, J. Lagacé
From Steklov to Neumann via homogenisation,
Archive for Rational Mechanics and Analysis: Volume 239 (2021), Issue 2, Pages 981-1023.
(arXiv:1906.09638)
5. A. Girouard, R. Laugesen
Robin spectrum: two disks maximize the third eigenvalue.
Indiana University Mathematics Journal: Published online.
(arXiv:1907.13173)
6. B. Colbois, A. Girouard, A. Hassannezhad
The Steklov and Laplacian spectra of Riemannian manifolds with boundary.
Journal of Functional Analysis: Volume 278 (2020), Issue 6.
(arXiv:1810.00711)
7. B. Colbois, A. Girouard, A. Métras
Hypersurfaces with prescribed boundary and small Steklov eigenvalues
Canadian Mathematical Bulletin: Volume 63 (2020), Issue 1.
(arXiv:1811.11463)
8. B. Colbois, A. El Soufi, A. Girouard
Compact manifolds with fixed boundary and large Steklov eigenvalues.
Proceedings of the American Mathematical Society: Volume 147 (2019), Issue 9, Pages 3813–3827.
(arXiv:1701.04125)
9. B. Colbois, A. Girouard, K. Gittins
Steklov eigenvalues of submanifolds with prescribed boundary in Euclidean space.
The Journal of Geometric Analysis: Volume 29 (2019), Issue 2, Pages 1811–1834.
(arXiv:1711.06458)
10. A. Girouard, J. Lagacé, I. Polterovich, A. Savo
The Steklov spectrum of cuboids.
Mathematika, Volume 65 (2019), Issue 2, Pages 272-310.
(arXiv:1711.03075)
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