Publications and preprints

1. The energy of fractional Allen–Cahn layers in dimension one: Alvaro Carballeira, Damien Galant, Javier Gómez-Serrano, arXiv preprint, 2026.
2. Blow-up analysis and a priori bounds for NLS equations on metric graphs: Pablo Carrillo, Colette De Coster, Damien Galant, Louis Jeanjean, Christophe Troestler, arXiv preprint, 2026.
3. On the defocusing stationary nonlinear Schrödinger equation on metric graphs: Élio Durand-Simonnet, Damien Galant, Boris Shakarov, arXiv preprint, 2026.
4. Normalized solutions of Nehari-Pankov type to indefinite variational problems: Damien Galant, Tobias Weth, arXiv preprint, 2026.
5. An action approach to nodal and least energy normalized solutions for nonlinear Schrödinger equations: Colette De Coster, Simone Dovetta, Damien Galant, Enrico Serra, accepted for publication in Annales de l'Institut Henri Poincaré C - Analyse non linéaire, 2025 (Preprint available on arXiv, early access on the publisher website).
6. Infinitely many normalized solutions of L²-supercritical NLS equations on noncompact metric graphs with localized nonlinearities: Pablo Carrillo, Damien Galant, Louis Jeanjean, Christophe Troestler, Discrete and Continuous Dynamical Systems, Vol. 53, 2026 (Preprint available on arXiv, Available on the publisher website).
7. Constant sign and sign changing NLS ground states on noncompact metric graphs: Colette De Coster, Simone Dovetta, Damien Galant, Enrico Serra, Christophe Troestler, Analysis & PDE, Vol. 19, No. 2, 2026 (Preprint available on arXiv, Available on the publisher website).
8. On the notion of ground state for nonlinear Schrödinger equations on metric graphs: Colette De Coster, Simone Dovetta, Damien Galant, Enrico Serra, Calculus of Variations and Partial Differential Equations, Vol. 62, No. 159, 2023 (Preprint available on arXiv, Available on the publisher website).
9. A note on optimal degree-three spanners of the square lattice: Cédric Pilatte, Damien Galant, Discrete Mathematics, Algorithms and Applications, Vol. 14, No. 03, 2150124, 2022 (Preprint available on arXiv, Available on the publisher website).
10. Geography of bilinearized Legendrian contact homology: Frédéric Bourgeois, Damien Galant, Algebraic & Geometric Topology, Vol. 24, No. 7, 2024 (Preprint available on arXiv, Available on the publisher website).

Dissertations

1. The nonlinear Schrödinger equation on metric graphs: PhD Thesis (directors: Prof. Colette De Coster and Prof. Christophe Troestler): defended publicly on December 9th 2024, available as a PDF (also available through theses.fr).
2. Ondes solitaires pour une équation de Schrödinger non-linéaire: Master's Thesis (in French, director: Prof. Christophe Troestler), UMONS, 2021, available as a PDF.