Calculus of Variations and Geometric Measure Theory

V. Franceschi - R. Monti - A. Socionovo

Mean value formulas on surfaces in Grushin spaces

created by franceschi on 22 Mar 2023
modified by socionovo on 01 Dec 2024

[BibTeX]

Published Paper

Inserted: 22 mar 2023
Last Updated: 1 dec 2024

Journal: Annales Fennici Mathematici
Volume: 49
Number: 1
Pages: 241-255
Year: 2024
Doi: https://doi.org/10.54330/afm.144565

ArXiv: 2303.11439 PDF

Abstract:

We prove (sub)mean value formulas at the point $0\in\Sigma$ for (sub)harmo\-nic functions a on a hypersurface $\Sigma\subset\mathbb R^{n+1}$ where the differentiable structure and the surface measure depend on the ambient Grushin structure.