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20232026
most citedHorizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations

2 citations · 4 across the 7 of their papers we have counts for

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math.AP2024

A parabolic PDE-based approach to Borell--Brascamp--Lieb inequality

Kazuhiro Ishige, Qing Liu, Paolo Salani

In this paper, we provide a new PDE proof for the celebrated Borell--Brascamp--Lieb inequality. Our approach reveals a deep connection between the Borell--Brascamp--Lieb inequality…

math.AP2024★ 2 cited

Horizontal semiconcavity for the square of Carnot-Carathéodory distance on step 2 Carnot groups and applications to Hamilton-Jacobi equations

Federica Dragoni, Qing Liu, Ye Zhang

We show that the square of Carnot-Carathéodory distance from the origin, in step 2 Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group incl…