Non-local functionals related to the total variation and connections with Image Processing

Haim Brezis, Hoai-Minh Nguyen

We present new results concerning the approximation of the total variation, ${\int }_{\Omega }|\nabla u|$, of a function $u$ by non-local, non-convex functionals of the form $$ Λ_δu = \int_Ω…