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On the Lp Gaussian Minkowski problem
Yibin Feng, Shengnan Hu, Lei Xu
Existence of symmetric (resp. asymmetric) solutions to the Gaussian Minkowski problem for (resp. ) will be provided. Moreover, existence and uniqueness of…
Existence of non-symmetric solutions to the Gaussian Minkowski problem
Yibin Feng, Weiru Liu, Lei Xu
Existence of symmetric solutions to the Gaussian Minkowski problem was established by Huang, Xi and Zhao. In this paper, we show the existence of non-symmetric solutions to this pr…
A note on the singular set of the no-sign obstacle problem
Shibing Chen, Yibin Feng, Yuanyuan Li
In this note, we prove the uniqueness of blowups at singular points of the no-sign obstacle problem thus give a positive ans…
Uniqueness of solutions to the logarithmic Minkowski problem in
Shibing Chen, Yibin Feng, Weiru Liu
In this paper, we prove the uniqueness of solutions to the logarithmic Minkowski problem in without symmetry condition, provided the density of the measure is close…