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math.DG2025
The Liouville theorem on H-type groups
Chuanyang Li, Juan Zhang, Peibiao Zhao
In this paper we obtain a Liouville type theorem to the semilinear subcritical elliptic equation on H-type groups. The semilinear subcritical elliptic equation studied in this pape…
math.DG2023
The Minkowski problem in Heisenberg groups
Bin Chen, Juan Zhang, Peibiao Zhao +1
As we all know, the Minkowski type problem is the cornerstone of the Brunn-Minkowski theory in Euclidean space. The Heisenberg group as a sub-Riemannian space is the simplest non-A…