2 papers
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,…
math.DG2024
Continuous family of surfaces translating by powers of Gauss curvature
Beomjun Choi, Kyeongsu Choi, Soojung Kim
This paper shows the existence of convex translating surfaces under the flow by the -th power of Gauss curvature for the sub-affine-critical regime . The key aspect…