Panu Lahti

collaborators

3 papers

math.AP2026

Weak Harnack inequality and Cartan property for nonlocal $W^{s, 1}$ -minimizers

Panu Lahti, Yuxin Li, Khanh Nguyen

We establish a weak Harnack inequality for nonlocal $W^{s, 1}$ -subminimizers in a complete, connected, doubling metric measure space where $0 < s < 1$ . As a corollary, we prove that $W^…

math.FA2026

Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence

Panu Lahti, Zhuolin Li

We study a class of non-local functionals that was introduced by Brezis--Seeger--Van Schaftingen--Yung, and can be used to characterize the total variation of functions. We establi…

math.FA2025

Lusin approximation for functions of bounded variation

Panu Lahti, Khanh Nguyen

We prove a Lusin approximation of functions of bounded variation. If $f$ is a function of bounded variation on an open set $I^c ◯ \subset X$ , where $X = (X, d, I^¼)$ is a given complete dou…

Weak Harnack inequality and Cartan property for nonlocal Ws,1-minimizers

Non-local functionals, total variation, and Gamma-convergence with respect to area-strict convergence

Lusin approximation for functions of bounded variation

Weak Harnack inequality and Cartan property for nonlocal $W^{s, 1}$ -minimizers