BMO-type functionals, total variation, and $\Gamma$-convergence

Panu Lahti, Quoc-Hung Nguyen

We study the BMO-type functional ${\kappa }_{\epsilon }(f,{\mathbb{R}}^n)$, which can be used to characterize BV functions $f\in BV({\mathbb{R}}^n)$. The $\Gamma$-limit of this functional, taken wi…