Volume 57, Issue 3
A Survey of Classification Results for Solutions to the Liouville Equation

Xiaohan Cai & Mijia Lai

J. Math. Study, 57 (2024), pp. 398-424.

Published online: 2024-10

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  • Abstract

In this expository paper, we survey some results concerning the classification of solutions to the Liouville equation $∆u+e^{2u} =0$ in $\mathbb{R}^2.$ .

  • AMS Subject Headings

35B08, 35C05, 35J91, 53A10

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COPYRIGHT: © Global Science Press

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@Article{JMS-57-398, author = {Cai , Xiaohan and Lai , Mijia}, title = {A Survey of Classification Results for Solutions to the Liouville Equation}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {3}, pages = {398--424}, abstract = {

In this expository paper, we survey some results concerning the classification of solutions to the Liouville equation $∆u+e^{2u} =0$ in $\mathbb{R}^2.$ .

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n3.24.10}, url = {http://global-sci.org/intro/article_detail/jms/23498.html} }
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 $\mathbb{R}^2.$ .

Cai , Xiaohan and Lai , Mijia. (2024). A Survey of Classification Results for Solutions to the Liouville Equation. Journal of Mathematical Study. 57 (3). 398-424. doi:10.4208/jms.v57n3.24.10
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