Anisotropic Finsler $N$-Laplacian Liouville equation in convex cones

Wei Dai, Changfeng Gui, YunPeng Luo

We consider the anisotropic Finsler $N$-Laplacian Liouville equation \[-Δ^{H}_{N}u=e^u \qquad {\rm{in}}\,\, \mathcal{C},\] where $N\ge 2$, $\mathcal{C}\subseteq {\mathbb{R}}^N$ is a…