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 $u\in BV(\Omega ;{\mathbb{R}}^N)$ with $Du\ll…