An area growth estimate of the Liouville equation

Xiaohan Cai, Mijia Lai, Chilin Zhang

We establish an area growth estimate for solutions that are bounded from above of the Liouville equation $\hat{I}”u+K{e}^{2u}=0$ with a positive pinched curvature $0<\hat{I}»\le K\le \hat{I}›$. As a…