Mean value formulas on surfaces in Grushin spaces

Authors

  • Valentina Franceschi Università di Padova, Dipartimento di Matematica Tullio Levi Civita
  • Roberto Monti Università di Padova, Dipartimento di Matematica Tullio Levi Civita
  • Alessandro Socionovo Sorbonne Université, Université de Paris, Laboratoire Jacques-Louis Lions, CNRS, Inria

DOI:

https://doi.org/10.54330/afm.144565

Keywords:

Mean and submean value formula, Grushin spaces, characteristics submanifolds

Abstract

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.

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Published

2024-03-28

Issue

Vol. 49 No. 1 (2024)

Section

Articles

License

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Franceschi, V., Monti, R., & Socionovo, A. (2024). Mean value formulas on surfaces in Grushin spaces. Annales Fennici Mathematici, 49(1), 241–255. https://doi.org/10.54330/afm.144565