@Article{ATA-38-2,
author = {Yanyan, Li and Siyuan, Lu},
title = {Monge-Ampère Equation with Bounded Periodic Data},
journal = {Analysis in Theory and Applications},
year = {2022},
volume = {38},
number = {2},
pages = {128--147},
abstract = {<p style="text-align: justify;">We consider the Monge-Ampère equation det $(D^2u) = f$ in $\mathbb{R}^n,$ where $f$ is a
positive bounded periodic function. We prove that $u$ must be the sum of a quadratic
polynomial and a periodic function. For $f ≡ 1,$ this is the classic result by Jörgens, Calabi and Pogorelov. For $f ∈ C^α,$ this was proved by Caffarelli and the first named
author.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-0022},
url = {https://global-sci.com/article/73754/monge-ampere-equation-with-bounded-periodic-data}
}