2 citations · 2 across the 3 of their papers we have counts for
4 papers
Stability and continuity of functions of least gradient
Heikki Hakkarainen, Riikka Korte, Panu Lahti +1
In this note we prove that on metric measure spaces, functions of least gradient, as well as local minimizers of the area functional (after modification on a set of measure zero) a…
Relaxation and integral representation for functionals of linear growth on metric measure spaces
Heikki Hakkarainen, Juha Kinnunen, Panu Lahti +1
This article studies an integral representation of functionals of linear growth on metric measure spaces with a doubling measure and a Poincaré inequality. Such a functional is def…
Comparisons of relative BV-capacities and Sobolev capacity in metric spaces
Heikki Hakkarainen, Nageswari Shanmugalingam
We study relations between the variational Sobolev 1-capacity and versions of variational BV-capacity in a complete metric space equipped with a doubling measure and supporting a w…
The variable exponent BV-Sobolev capacity
Heikki Hakkarainen, Matti Nuortio
In this article we study basic properties of the mixed BV-Sobolev capacity with variable exponent p. We give an alternative way to define mixed type BV-Sobolev-space which was orig…