Benjamin Lledos

Presentation

Welcome to my webpage. My research areas are the calculus of variations, elliptic PDEs and geometric measure theory. I am interested in the uniqueness, regularity, and qualitative properties of solutions to minimization problems in the calculus of variations or elliptic PDEs, Gamma-convergence for phase fields or homogenization.

Since September 2024, I am a maître de conférences (associate professor) at the université de Nîmes, working in the Laboratoire mathématiques, informatique, physique et applications (MIPA). Previously, I worked in the Institut de recherche en mathématique et physique (IRMP) of the UC Louvain as a Postdoctoral researcher under the supervision of Heiner Olbermann.

My Ph.D. was defended in July 2023 and supervised by Pierre Bousquet at the Institut de Mathématiques de Toulouse.

This webpage gathers information and documents about my research and teaching activities as well as my educational background.

Research

Current research:

Pre-prints:

• Discarding Lavrentiev's Gap in Non-automonous and Non-Convex Variational Problems, with Michał Borowski, Pierre Bousquet, Iwona Chlebicka & Błażej Miasojedow (2024).
• Study of minimizers of problems with linear growth under bounded slope condition (2025).

Publications and accepted papers:

• Interacting phase fields yielding phase separation on surfaces, with Roberta Marziani & Heiner Olbermann, Accepted in the SIAM Journal on Mathematical Analysis (2025).
• A uniqueness result for a two-dimensional variational problem, Accepted in the Annales de l'institut Fourier (2024).
• Regularity of the stress field for degenerate and/or singular elliptic problems, Annales Mathématiques Blaise Pascal (2024).
• A uniqueness result for a non-strictly convex problem in the calculus of variations, Esaim:COCV. (2023).
• A uniqueness result for a translation invariant problem in the calculus of variations, Journal of Convex Analysis (2024).

Ph.D. thesis:

• Qualitative properties for solutions of degenerate and/or singular problems in the calculus of variations. (Propriétés qualitatives de solutions de problèmes dégénérés et/ou singuliers en calcul des variations), defended in July 2023.

Conferences and Seminars

• Analysis and PDEs seminar, Université Toulouse 3 (IMT) , 17th Febuary 2025.
• GT Top, Marseille (FRUMAM), 12th December 2024.
• Conference in Calculus of Variations in Lille, Lille, 24th-28th June 2024.
• Gdr CalVa seminar, Paris-Saclay (LMO), 4th March 2024.
• Analysis and PDEs seminar, UC Louvain (IRMP), 17th October 2023.
• Analysis and PDEs seminar, University of Warsaw , 25th May 2023.
• Analysis and PDEs seminar, Université Toulouse 3 (IMT) , 19th September 2022.
• Workshop in calculus of variations, Université de Loraine, Nancy, 10th December 2021.

Teaching

• 2024-2025 : Université de Nîmes.
  • Linear algebra lectures and tutorials, first year of BSc.
  • Complemantray courses, mathematics, second year of BSc.
• 2022-2023 : Université Paul Sabatier.
  • 8h of pratictal works (Python), linear algebra, first year of BSc.
  • 30h of tutorials, mathematics, first year of BSc.
  • 28h of tutorials, Sets and logic, first year of BSc.
• 2021-2022 : Université Paul Sabatier.
  • 66h of tutorials, mathematics, first year of BSc.
• 2020-2021 : Université Paul Sabatier.
  • 60h of tutorials,mathematics, first year of BSc.

Resume

Contact me

benjamin.lledos@unimes.fr