46 citations · 339 across the 63 of their papers we have counts for
3 papers · 1 filter
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…
Geometry of prime end boundary and the Dirichlet problem for bounded domains in metric spaces
Dewey Estep, Nageswari Shanmugalingam
In this note we study the Dirichlet problem associated with a version of prime end boundary of a bounded domain in a complete metric measure space equipped with a doubling measure…
Characterizations of sets of finite perimeter using heat kernels in metric spaces
Niko Marola, Michele Miranda, Nageswari Shanmugalingam
The overarching goal of this paper is to link the notion of sets of finite perimeter (a concept associated with -spaces) and the theory of heat semigroups (a concept relat…