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Compactness of the dual Minkowski problem in
Karoly J. Boroczky, Shibing Chen, Weiru Liu +1
We prove the estimate for the th dual Minkowski problem on under fairly general conditions; namely, when lies in [0,1) and , and the th dua…
Uniqueness in the near isotropic Lp dual Minkowski problem
Karoly J. Boroczky, Shibing Chen, Weiru Liu +1
For n>1 and -1<p<1, we prove that if q is close to n and the qth Lp dual curvature is Holder close to be the constant one function, then this "near isotropic" qth Lp dual Minkowski…
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…
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…