On the classification of entire solutions to the critical p-Laplace equation

Abstract

Under the assumption of finite energy, positive solutions to the critical p-Laplace equation in ${\mathbb{R}}^n$ for $1<p<n$ have been classified completely by moving plane method. In this paper, the author provide a new approach to obtain the same classification results for $\frac{n+1}{3}\le p<n$, without any further assumptions.