卡诺群的albert - caffarelli - friedman单调性公式及均值性质及其应用

Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-03 DOI:10.1007/s40574-023-00393-5

Fausto Ferrari, Nicolò Forcillo

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引用次数: 0

摘要

本文对Alt-Caffarelli-Friedman单调性公式提供了一种不同的方法，减少了检验涉及梯度范数的函数的均值单调递增行为的问题。特别地，我们证明了我们的论点在卡诺群的一般框架下成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Bollettino dell'Unione Matematica Italiana

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