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



Inserted: 22 mar 2023
Last Updated: 22 mar 2023

Year: 2023

ArXiv: 2303.11439 PDF


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.