| Autor: |
Hakkarainen H., Korte R., Lahti P., Shanmugalingam N. |
| Jazyk: |
angličtina |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
Analysis and Geometry in Metric Spaces, Vol 3, Iss 1 (2015) |
| Druh dokumentu: |
article |
| ISSN: |
2299-3274 |
| DOI: |
10.1515/agms-2015-0009 |
| 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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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