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20152025
most citedA second-order operator for horizontal quasiconvexity in the Heisenberg group and application to convexity preserving for horizontal curvature flow

2 citations · 4 across the 17 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.AP2022

Green function in metric measure spaces

Mario Bonk, Luca Capogna, Xiaodan Zhou

We study existence and uniqueness of Green functions for the Cheeger -Laplacian in metric measure spaces that are Ahlfors -regular and support a -Poincaré inequality with…

math.FA2022

A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces

Panu Lahti, Andrea Pinamonti, Xiaodan Zhou

We study a characterization of BV and Sobolev functions via nonlocal functionals in metric spaces equipped with a doubling measure and supporting a Poincaré inequality. Compared wi…

math.AP2022

Horizontally quasiconvex envelope in the Heisenberg group

Antoni Kijowski, Qing Liu, Xiaodan Zhou

This paper is concerned with a PDE-based approach to the horizontally quasiconvex (h-quasiconvex for short) envelope of a given continuous function in the Heisenberg group. We prov…