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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.AP2023★ 2 cited

A second-order operator for horizontal quasiconvexity in the Heisenberg group and application to convexity preserving for horizontal curvature flow

Antoni Kijowski, Qing Liu, Ye Zhang +1

This paper is concerned with a PDE approach to horizontally quasiconvex (h-quasiconvex) functions in the Heisenberg group based on a nonlinear second order elliptic operator. We di…

math.AP2023

A representation formula for viscosity solutions of nonlocal Hamilton--Jacobi equations and applications

Takashi Kagaya, Qing Liu, Hiroyoshi Mitake

This paper is concerned with geometric motion of a closed surface whose velocity depends on a nonlocal quantity of the enclosed region. Using the level set formulation, we study a…