Geodesic
Mean value formulas on surfaces in Grushin spaces
Valentina Franceschi1 ; Roberto Monti1 ; Alessandro Socionovo2
1 Università di Padova, Dipartimento di Matematica Tullio Levi Civita
2 Sorbonne Université, Université de Paris, Laboratoire Jacques-Louis Lions, CNRS, Inria
Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 241–255.

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We prove (sub)mean value formulas at the point $0\in\Sigma$ for (sub)harmonic functions on a hypersurface $\Sigma\subset\mathbb{R}^{n+1}$ where the differentiable structure and the surface measure depend on the ambient Grushin structure.
DOI : 10.54330/afm.144565
Keywords: Mean and submean value formula, Grushin spaces, characteristics submanifolds

Valentina Franceschi 1 ; Roberto Monti 1 ; Alessandro Socionovo 2

1 Università di Padova, Dipartimento di Matematica Tullio Levi Civita
2 Sorbonne Université, Université de Paris, Laboratoire Jacques-Louis Lions, CNRS, Inria 
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Valentina Franceschi; Roberto Monti; Alessandro Socionovo. Mean value formulas on surfaces in Grushin spaces. Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 241–255. doi : 10.54330/afm.144565. http://geodesic.mathdoc.fr/articles/10.54330/afm.144565/

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