Classification of solutions to the anisotropic $N$-Liouville equation in ${\mathbb{R}}^N$

Giulio Ciraolo, Xiaoliang Li

Given $N\ge 2$, we completely classify the solutions of the anisotropic $N$-Liouville equation $$-\hat{I}{”}_N^{H}u=e^u\text{in }{\mathbb{R}}^N,$$ under the finite mass condition $\in…