Alt-Caffarelli-Friedman monotonicity formula and mean value properties in Carnot groups with applications

Autor: Ferrari, Fausto, Forcillo, Nicolò
Rok vydání: 2023
Předmět:
Zdroj: Boll Unione Mat Ital (2023)
Druh dokumentu: Working Paper
DOI: 10.1007/s40574-023-00393-5
Popis: In this paper we provide a different approach to the Alt-Caffarelli-Friedman monotonicity formula, reducing the problem to test the monotone increasing behavior of the mean value of a function involving the norm of the gradient. In particular, we show that our argument holds in the general framework of Carnot groups.
Databáze: arXiv