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math.DG2023★ 2 cited
Curvature bound for Minkowski problem
Kyeongsu Choi, Minhyun Kim, Taehun Lee
We establish curvature estimates for anisotropic Gauss curvature flows. By using this, we show that given a measure with a positive smooth density , any solution to the $L_p…
math.DG2022
Diameter estimate for planar dual Minkowski problem
Minhyun Kim, Taehun Lee
In this paper, given a prescribed measure on whose density is bounded and positive, we establish a uniform diameter estimate for solutions to the planar dual M…
math.DG2021
The discrete logarithmic Minkowski problem for the electrostatic -capacity
Minhyun Kim, Taehun Lee
The Minkowski problem for electrostatic capacity characterizes measures generated by electrostatic capacity, which is a well-known variant of the Minkowski problem. This problem ha…