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20112026
most citedExistence and uniqueness theorems for some semi-linear equations on locally finite graphs

22 citations · 80 across the 66 of their papers we have counts for

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Showing 2016 · math.MGShow all

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math.MG2016★ 2 cited

Structure of Porous Sets in Carnot Groups

Andrea Pinamonti, Gareth Speight

We show that any Carnot group contains a closed nowhere dense set which has measure zero but is not -porous with respect to the Carnot-Carathéodory (CC) distance. In the first H…

math.MG2016

Porosity, Differentiability and Pansu's Theorem

Andrea Pinamonti, Gareth Speight

We use porosity to study differentiability of Lipschitz maps on Carnot groups. Our first result states that directional derivatives of a Lipschitz function act linearly outside a $…