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- Title
- Monge-Ampère equations with right-hand sides of polynomial growth
- KIAS Author
- Choi, Kyeongsu
- Journal
- NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025
- Archive
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- Abstract
- We study the regularity and the growth rates of solutions to two-dimensional Monge-Amp & egrave;re equations with the right-hand side exhibiting polynomial growth. Utilizing this analysis, we demonstrate that the translators for the flow by sub-affine-critical powers of the Gauss curvature are smooth, strictly convex entire graphs. These graphs exhibit specific growth rates that depend solely on the power of the flow.