General interests

  • Calculus of variations
  • Geometric measure theory
  • Partial differential equations

Keywords: isoperimetric problems, fractional harmonic maps, nonlocal energies, singularities, free boundary problems, partial regularity, minimal surfaces

Publications

  1. M. Goldman, B. Merlet, M. Pegon : Uniform C1,α-regularity for almost-minimizers of some nonlocal perturbations of the perimeter, Archive for Rational Mechanics and Analysis 248 102, 60 pages (2024) arXiv:2209:11006 | hal-03623418
  2. M. Goldman, B. Merlet, M. Pegon, S. Serfaty : Compactness and structure of zero-states for unoriented Aviles–Giga functionals, Journal of the Institute of Mathematics of Jussieu 23 (2), pp 941-981, 42 pages (2023) arXiv:2112.04959 | hal-03472756
  3. B. Merlet, M. Pegon : Large mass rigidity for a liquid drop model in 2D with potentials of finite moments, Journal de l'École polytechnique — Mathématiques 9, 28 pages (2022) arXiv:2106.02442 | hal-03181775 | Published version
  4. M. Pegon : Large mass minimizers for an isoperimetric problem with a repulsive integrable potential, Nonlinear Analysis 211, 48 pages (2022) arXiv:2003.01165 | hal-02496313
  5. V. Millot, A.Schikorra, M. Pegon : Partial regularity for fractional harmonic maps into sphere, Archive for Rational Mechanics and Analysis 242, pp 747—825, 79 pages (2019) arXiv:1901.05790 | hal-02297231
  6. V. Millot, M. Pegon : Minimizing 1/2-harmonic maps into spheres, Calc. Var. Partial Differential Equations 59, 37 pages (2019) arXiv:1901.05790 | hal-01985037