Weiru Liu

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math.AP2025

Compactness of the $L_{p}$ dual Minkowski problem in $R^{3}$

Karoly J. Boroczky, Shibing Chen, Weiru Liu +1

We prove the $C^{0}$ estimate for the $L_{p}$ $q$ th dual Minkowski problem on $S^{2}$ under fairly general conditions; namely, when $p$ lies in [0,1) and $q > 2 + p$ , and the $L_{p}$ $q$ th dua…

math.AP2025

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…

Compactness of the Lp​ dual Minkowski problem in R3

Uniqueness in the near isotropic Lp dual Minkowski problem

Compactness of the $L_{p}$ dual Minkowski problem in $R^{3}$