论文标题

关于关键p-Laplace方程的整个解决方案的分类

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

论文作者

Ou, Qianzhong

论文摘要

在有限能量的假设下,$ \ mathbb {r}^n $ in $ 1 <p <n $的批判p-laplace方程的积极解决方案已被分类 完全通过移动平面方法。在本文中,作者提供了一种新方法,以获取$ \ frac {n+1} {3} {3} \ leq p <n $的相同分类结果 没有任何进一步的假设。

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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