Mean value formulas on surfaces in Grushin spaces
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Published:2024-03-28
Issue:1
Volume:49
Page:
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ISSN:2737-114X
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Container-title:Annales Fennici Mathematici
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language:
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Short-container-title:Ann. Fenn. Math.
Author:
Franceschi Valentina,Monti Roberto,Socionovo Alessandro
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.
Publisher
Finnish Mathematical Society