Wojciech Górny, José M. Mazón
Published 2021-05-02Version 1
In the framework of the first-order differential structure introduced by Gigli, we obtain a Gauss-Green formula on regular bounded open sets of metric measure spaces, valid for BV functions and vector fields with integrable divergence. Then, we study least gradient functions in metric measure spaces using this formula as the main tool.
Comments: 41 pages. arXiv admin note: text overlap with arXiv:2103.13373
Obstacle problems with double boundary condition for least gradient functions in metric measure spaces
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
$L^p$ regularity of least gradient functions
![QR code for arXiv:2105.00432 [math.AP]](http://oss.arxitics.com/images/favicon.svg)