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

Qianzhong Ou

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arXiv · 2210.05141

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

Qianzhong Ou

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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 $\frac{n+1}{3}\leq p<n$, without any further assumptions.

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Qianzhong Ou. 2022-10-11. On the classification of entire solutions to the critical p-Laplace equation. https://arxiv.org/abs/2210.05141

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