| Autor: |
Górny, Wojciech, Mazón, J. M. |
| Předmět: |
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| Zdroj: |
Communications in Contemporary Mathematics; Aug2024, Vol. 26 Issue 6, p1-42, 42p |
| Abstrakt: |
In the framework of the first-order differential structure introduced by Gigli, we obtain a Gauss–Green formula on regular bounded open sets in doubling metric measure spaces supporting a weak Poincaré inequality, valid for BV functions and vector fields with integrable divergence. Then, we study least gradient functions in metric measure spaces and provide an Euler–Lagrange-type formulation of the least gradient problem, using this formula as the main tool. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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