TY - JOUR T1 - A Survey of Classification Results for Solutions to the Liouville Equation AU - Cai , Xiaohan AU - Lai , Mijia JO - Journal of Mathematical Study VL - 3 SP - 398 EP - 424 PY - 2024 DA - 2024/10 SN - 57 DO - http://doi.org/10.4208/jms.v57n3.24.10 UR - https://global-sci.org/intro/article_detail/jms/23498.html KW - Classification, Liouville equation. AB -
In this expository paper, we survey some results concerning the classification of solutions to the Liouville equation $∆u+e^{2u} =0$ in $\mathbb{R}^2.$ .