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math.MG2019
Functions of bounded variation on complete and connected one-dimensional metric spaces
Panu Lahti, Xiaodan Zhou
In this paper, we study functions of bounded variation on a complete and connected metric space with finite one-dimensional Hausdorff measure. The definition of BV functions on a c…
math.AP2019★ 1 cited
Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations
Qing Liu, Xiaodan Zhou
This paper introduces in a natural way a notion of horizontal convex envelopes of continuous functions in the Heisenberg group. We provide a convexification process to find the env…