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arXiv · 1609.00705

Classification of the stable solution to the fractional $2<s<3$ Lane-Emden equation

Senping Luo·Juncheng Wei·Wenming Zou
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Abstract

We classify the stable solutions (positive or sign-changing, radial or not) to the following nonlocal Lane-Emden equation: $(-\Delta)^s u=|u|^{p-1}u$ in $\mathbb{R}^n$ for $2<s<3$.

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Senping Luo, Juncheng Wei, Wenming Zou. 2016-09-02. Classification of the stable solution to the fractional $2<s<3$ Lane-Emden equation. https://arxiv.org/abs/1609.00705

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