A classification result for the quasi-linear Liouville equation

TL;DR

This paper completely classifies all entire solutions with finite mass for the n-Laplace Liouville equation in Euclidean space, advancing understanding of its solution structure.

Contribution

It provides a complete classification of solutions to the n-Laplace Liouville equation with finite mass, a significant theoretical advancement.

Findings

All solutions with finite mass are classified.

The solution structure is fully characterized.

The results extend previous classifications to the n-Laplace case.

Abstract

Entire solutions of the $n-$Laplace Liouville equation in $\mathbb{R}^n$ with finite mass are completely classified.