Main research interests: Calculus of Variations, PDEs, Sobolev spaces between Riemannian manifolds, Harmonic maps,
Singularities, Γ-convergence, free discontinuity problems, phase transition, branched transportation, Micromagnetism, Ginzburg-Landau.
PhD thesis: «Approximations elliptiques d'énergies singulières sous contrainte de divergence» (Elliptic approximations of singular energies
under divergence constraint). PDF file available HERE .
Publications
Preprints:
- Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization (with Giovanni Di Fratta and Valeriy Slastikov). Preprint available here.
- Mass concentration in rescaled first order integral functionals (with Paul Pegon). Preprint available here.
Published or accepted papers:
- Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold
(with Rémy Rodiac and Jean Van Schaftingen), Pre-accepted in ARMA, Preprint available here.
- Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains
(with Rémy Rodiac and Jean Van Schaftingen), Accepted in Mathematische Annalen Preprint available here.
- A necessary condition in a De Giorgi type conjecture for elliptic systems in infinite strips (with Radu Ignat), Pure Appl. Funct. Anal. 5 (2020), no. 4, 981-999. Preprint available here.
- A De Giorgi-type conjecture for minimal solutions to a nonlinear Stokes equation (with Radu Ignat), Comm. Pure Appl. Math. 73 (2020), no. 4, 771-854 Preprint available here.
- Metric methods for heteroclinic connections in infinite dimensional spaces (with Filippo Santambrogio), Indiana Univ. Math. J. 69 (2020), no. 4, 1445-1503. Preprint available here.
- Uniform boundedness principles for Sobolev maps into manifolds (with Jean Van Schaftingen), Ann. Inst. Henri-Poincaré, Anal. Non Lin. 36 (2019), no.2, 417-449. Preprint available here.
- Metric methods for heteroclinic connections (with Filippo Santambrogio), Math. Methods Appl. Sci. 41 (2018), no. 3, 1019-1024. Preprint available here.
- A necessary condition for lower semicontinuity of line energies (with Pierre Bochard), Calc. Var. Partial Differential Equations 56 (2017), no. 1, 8. Preprint available here.
- Uniform estimates for a Modica-Mortola type approximation of branched transportation, ESAIM Control Optim. Calc. Var. 23 (2017), 309-335. Preprint available here.