2 papers
math.DG2025
Ancient Gauss Curvature Flows of Bounded Width
Beomjun Choi, Kyeongsu Choi, Dongjun Noh
In this paper, we construct a pancake-like ancient compact solution with flat sides to the Gauss curvature flow, contained in a slab. Also, we construct sausage-like ancient compac…
math.AP2024
Monge-Ampère equations with right-hand sides of polynomial growth
Beomjun Choi, Kyeongsu Choi, Soojung Kim
We study the regularity and the growth rates of solutions to two-dimensional Monge-Ampère equations with the right-hand side exhibiting polynomial growth. Utilizing this analysis,…