15 citations · 54 across the 42 of their papers we have counts for
6 papers · 1 filter
BMO-type functionals, total variation, and -convergence
Panu Lahti, Quoc-Hung Nguyen
We study the BMO-type functional , which can be used to characterize BV functions . The -limit of this functional, taken wi…
Removable sets for Newtonian Sobolev spaces and a characterization of -path almost open sets
Anders Björn, Jana Björn, Panu Lahti
We study removable sets for Newtonian Sobolev functions in metric measure spaces satisfying the usual (local) assumptions of a doubling measure and a Poincaré inequality. In partic…
Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient
Panu Lahti, Lukas Maly, Nageswari Shanmugalingam +1
We study the geometry of domains in complete metric measure spaces equipped with a doubling measure supporting a -Poincaré inequality. We propose a notion of \emph{domain with b…
Notions of Dirichlet problem for functions of least gradient in metric measure spaces
Riikka Korte, Panu Lahti, Xining Li +1
We study two notions of Dirichlet problem associated with BV energy minimizers (also called functions of least gradient) in bounded domains in metric measure spaces whose measure i…
A notion of fine continuity for BV functions on metric spaces
Panu Lahti
In the setting of a metric space equipped with a doubling measure supporting a Poincaré inequality, we show that BV functions are, in the sense of multiple limits, continuous with…
Fine properties and a notion of quasicontinuity for BV functions on metric spaces
Panu Lahti, Nageswari Shanmugalingam
On a metric space equipped with a doubling measure supporting a Poincaré inequality, we show that given a BV function, discarding a set of small -capacity makes the function con…