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math.MG2014
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…
math.MG2014
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…