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20162025
most citedA second-order operator for horizontal quasiconvexity in the Heisenberg group and application to convexity preserving for horizontal curvature flow

2 citations · 3 across the 13 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

Discontinuous eikonal equations in metric measure spaces

Qing Liu, Nageswari Shanmugalingam, Xiaodan Zhou

In this paper, we study the eikonal equation in metric measure spaces, where the inhomogeneous term is allowed to be discontinuous, unbounded and merely -integrable in the domai…

math.AP2023

Hamilton-Jacobi equations in metric spaces

Qing Liu, Xiaodan Zhou

These are lecture notes for our minicourse at OIST Summer Graduate School "Analysis and Partial Differential Equations" on June 12-17, 2023. We give an overview and collect a few i…