English

Mean value formulas on surfaces in Grushin spaces

Analysis of PDEs 2024-01-17 v2

Abstract

We prove (sub)mean value formulas at the point 0Σ0\in\Sigma for (sub)harmonic functions a on a hypersurface ΣRn+1\Sigma\subset\mathbb{R}^{n+1} where the differentiable structure and the surface measure depend on the ambient Grushin structure.

Keywords

Cite

@article{arxiv.2303.11439,
  title  = {Mean value formulas on surfaces in Grushin spaces},
  author = {Valentina Franceschi and Roberto Monti and Alessandro Socionovo},
  journal= {arXiv preprint arXiv:2303.11439},
  year   = {2024}
}
R2 v1 2026-06-28T09:25:06.339Z