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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.11439 |
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| _version_ | 1866916090607566848 |
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| author | Franceschi, Valentina Monti, Roberto Socionovo, Alessandro |
| author_facet | Franceschi, Valentina Monti, Roberto Socionovo, Alessandro |
| contents | We prove (sub)mean value formulas at the point $0\inΣ$ for (sub)harmonic functions a on a hypersurface $Σ\subset\mathbb{R}^{n+1}$ where the differentiable structure and the surface measure depend on the ambient Grushin structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11439 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mean value formulas on surfaces in Grushin spaces Franceschi, Valentina Monti, Roberto Socionovo, Alessandro Analysis of PDEs 35B05, 35H20, 49Q05 We prove (sub)mean value formulas at the point $0\inΣ$ for (sub)harmonic functions a on a hypersurface $Σ\subset\mathbb{R}^{n+1}$ where the differentiable structure and the surface measure depend on the ambient Grushin structure. |
| title | Mean value formulas on surfaces in Grushin spaces |
| topic | Analysis of PDEs 35B05, 35H20, 49Q05 |
| url | https://arxiv.org/abs/2303.11439 |