Publications

Preprints
  1. B. Colbois, A. Girouard, M. Iversen,
    Uniform stability of the Dirichlet spectrum for rough outer perturbations.
    (arXiv:1206.2616)
Published Papers
  1. A. Girouard, I. Polterovich
    Upper bounds for Steklov eigenvalues on surfaces.
    Electronic Research Announcements in Mathematical Sciences ,
    Volume 19, Pages 77–85.

  2. B. Colbois, A. El Soufi, A. Girouard,
    Isoperimetric control of the spectrum of a compact hypersurface,
    To appear in Journal für die reine und angewandte Mathematik
    (arXiv:1007.0826)

  3. B. Colbois, A. El Soufi, A. Girouard,
    Isoperimetric control of the Steklov spectrum,
    Journal of Functional Analysis
    Vol 261 (2011), Issue 5, 1384-1399.
    (arXiv:1103.2863)

  4. A. Girouard and I. Polterovich,
    On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues,
    Functional Analysis and its Applications
    Vol 44 (2010), no. 2, 106-117.
    (arXiv:0808.2968)

  5. A. Girouard and I. Polterovich,
    Shape optimization for low Neumann and Steklov eigenvalues,
    Mathematical Methods in the Applied Sciences
    Vol 33 (2010), Issue 4, 501-516.
    (arXiv:0811.2617)

  6. A. Girouard, N. Nadirashvili, I. Polterovich,
    Maximization of the second positive Neumann eigenvalue for planar domains,
    Journal of Differential Geometry
    Vol 83 (2009), no. 3, 637-662.
    (arXiv:0801.2142)

  7. A. Girouard,
    Fundamental tone, concentration of density to points and conformal degeneration on surfaces,
    Canadian Journal of Mathematics
    Vol 61 (2009), no. 3, 548-565.
    (arXiv:math/0510279)

  8. A. Girouard,
    Relative homological linking,
    Topological methods in nonlinear analysis
    Vol 30 (2007), no. 2, 211-222.
    (arXiv:math/0311513)

Theses

  1. A. Girouard, Dégénérescence et problèmes extrémaux pour les valeurs propres du laplacien sur les surfaces,
    PhD, Université de Montréal, 2008.

  2. A. Girouard, Enlacement homologique relatif,
    MSc, Université de Montréal, 2002.


Course notes

  1. A. Girouard and Y. Saint-Aubin, Mathématiques assistées par ordinateur, Université de Montréal, 2001.