Recherche

Analyse géométrique, Analyse non linéaire sur les variétés, Equations aux dérivées partielles, Méthodes variationnelles, Optimisation de valeurs propres, Surfaces minimales.

(14) Maximizing one Laplace eigenvalue on n-dimensional manifolds pdf

(13) A variational method for functionals depending on eigenvalues pdf

(12) Shape optimization for combinations of Steklov eigenvalues on Riemannian surfaces

(11) Asymptotics for minimizers of the Ginzburg-Landau energy with optimal regularity of the boundary data and applications , avec Paul Laurain. pdf

(10) Extremal metrices for combinations of Laplace eigenvalues and minimal surfaces into ellipsoids

(9) A remark on the rigidity of the first conformal Steklov eigenvalue, avec Henrik Matthisen. pdf

(8) Free boundary minimal surfaces of any topological type in Euclidean balls via shape optimization, avec Henrik Matthiesen. pdf

(7) Existence of Min-Max Free Boundary Disks Realising the Width of a Manifold, avec Paul Laurain, Adv. Math. 352 (2019), 326–371. pdf

(6) Maximizing Steklov eigenvalues on surfaces, J. Differential Geom. 113 (2019), no. 1, 95–188.

(5) On the existence of metrics which maximize Laplace eigenvalues on surfaces, Int. Math. Res. Not. (2018), no. 14, 4261–4355.

(4) Regularity and quantification for harmonic maps with free boundary, avec Paul Laurain, Adv. Calc. Var. 10 (2017), no. 1, 69–82. pdf

(3) On a rigidity result for the first conformal eigenvalue of the Laplacian, J. Spectr. Theory 5 (2015), no. 1, 227–234. pdf

(2) Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces, Geom. Funct. Anal. 24 (2014), no. 4, 1336–1376. pdf

(1) Maximization of the second conformal eigenvalue of spheres, Proc. Amer. Math. Soc. 142 (2014), no. 7, 2385–2394. pdf

J'ai soutenu ma thèse le 17/11/2015 sous la direction d'Olivier Druet intitulée : bornes sur des valeurs propres et métriques extrémales.

Rapporteurs : Ailana Fraser, Tristan Rivière.

Jury : Nalini Anantharaman, Olivier Druet, Bernard Helffer, Paul Laurain, Tristan Rivière, Richard Schoen, Jean-Yves Welschinger.