14 citations · 38 across the 10 of their papers we have counts for
5 papers · 1 filter
On the uniqueness of energy-minimizing curves in constrained spaces
Ki-Ahm Lee, Taehun Lee
In this paper, we investigate energy-minimizing curves with fixed endpoints and in a constrained space. We prove that when one of the endpoints, say , is fixed, the set…
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…
An eigenvalue problem for prescribed curvature equations
Taehun Lee
We study an eigenvalue problem for prescribed -curvature equations of star-shaped, -convex, closed hypersurfaces. We establish the existence of a unique eigenvalue and its…
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…
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…