Panu Lahti

activity

20132026

most citedNotions of Dirichlet problem for functions of least gradient in metric measure spaces

15 citations · 54 across the 42 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.FA2023

BV functions and nonlocal functionals in metric measure spaces

Panu Lahti, Andrea Pinamonti, Xiaodan Zhou

We study the asymptotic behavior of three classes of nonlocal functionals in complete metric spaces equipped with a doubling measure and supporting a Poincaré inequality. We show t…

math.AP2023

BMO-type functionals, total variation, and $Γ$ -convergence

Panu Lahti, Quoc-Hung Nguyen

We study the BMO-type functional $κ_{ε} (f, R^{n})$ , which can be used to characterize BV functions $f \in B V (R^{n})$ . The $Γ$ -limit of this functional, taken wi…

math.MG2023

Alberti's rank one theorem and quasiconformal mappings in metric measure spaces

Panu Lahti

We investigate a version of Alberti's rank one theorem in Ahlfors regular metric spaces, as well as a connection with quasiconformal mappings. More precisely, we give a proof of th…

BV functions and nonlocal functionals in metric measure spaces

BMO-type functionals, total variation, and Γ-convergence

Alberti's rank one theorem and quasiconformal mappings in metric measure spaces

BMO-type functionals, total variation, and $Γ$ -convergence