“Continuity and uniqueness for BV minimisers”
Lunedì 20 Luglio 2026, ore 14:30 - Aula 2AB45 - Pierre Bousquet (Université de Toulouse)
Abstract
We establish continuity and uniqueness results for the BV (Ω) minimisers of multidimensional scalar variational problems formulated on a bounded open set Ω. The integrand is assumed to be convex (but not necessarily strictly convex), with linear growth from below (but not necessarily from above), while the domain Ω and the boundary condition must satisfy suitable geometric and regularity conditions, such as convexity or Lipschitz continuity. This is a joint work in collaboration with Benjamin Lledos (MIPA).
