15 citations · 54 across the 42 of their papers we have counts for
4 papers · 1 filter
Lower semicontinuity for an integral functional in BV
Jan Kristensen, Panu Lahti
We prove a lower semicontinuity result for a functional of linear growth initially defined by \[ \int_ΩF\left(\frac{dDu}{dμ}\right)\,dμ\] for with $Du\ll…
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…
Trace theorems for functions of bounded variation in metric spaces
Panu Lahti, Nageswari Shanmugalingam
In this paper we show existence of traces of functions of bounded variation on the boundary of a certain class of domains in metric measure spaces equipped with a doubling measure…