LABOURIE Camille

Presentation (🇫🇷 🇬🇧)

I am maître de conférences at the University of Lorraine and I am interested in variational problems in a geometric measure-theoretic setting. I work in particular on the Plateau problem, which describes soap films, and on the Griffith functional, which describes brittle fractures in linear elasticity.

Preprints

• Y. Teplitskaya. Optimal regularity for quasiminimal sets of codimension one in $\mathbb{R}^2$ and $\mathbb{R}^3$. Preprint (2024). arXiv, HAL.
• M. Friedrich and K. Stinson, Strong existence for free discontinuity problems in linear elasticity. Preprint (2024). arXiv.
• M. Friedrich and K. Stinson, On regularity for Griffith almost-minimizers in the plane. Preprint (2023). arXiv.

Publications

• A. Lemenant, Uniform concentration property for Griffith almost-minimizers. Accepted in JMPA (2024). arXiv, HAL.
• A. Lemenant, Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition. Arch Rational Mech Anal (2023). Journal, arXiv, HAL.
• A. Lemenant, Regularity improvement for the minimizers of the two-dimensional Griffith energy. Rendiconti Lincei Matematica e Applicazioni (2023). Journal, arXiv, HAL.
• E. Milakis, The calibration method for the thermal insulation functional. ESAIM: Control, Optimisation and Calculus of Variations (2022). Journal, arXiv, HAL.
• E. Milakis, Higher integrability of the gradient for the thermal insulation problem. Interfaces and Free Boundaries (2022). Journal, arXiv, HAL.
• Solutions of the (free boundary) Reifenberg Plateau problem. Advances in Calculus of Variations (2020). Journal, arXiv, HAL.
• Weak limits of quasiminimizing sequences. The Journal of Geometric Analysis (2021). Journal, arXiv, HAL.