Stability and continuity of functions of least gradient

Autor:	Hakkarainen, Heikki, Korte, Riikka, Lahti, Panu, Shanmugalingam, Nageswari
Rok vydání:	2014
Předmět:	Mathematics - Metric Geometry Mathematics - Analysis of PDEs Mathematics - Optimization and Control Primary 26B30 Secondary 31E99 31C45 26B15
Druh dokumentu:	Working Paper
Popis:	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) are continuous everywhere outside their jump sets. As a tool, we develop some stability properties of sequences of least gradient functions. We also apply these tools to prove a maximum principle for functions of least gradient that arise as solutions to a Dirichlet problem. Comment: 29 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1410.2228 Zobrazit plný text záznamu View this record from Arxiv