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

Juncheng Wei; Senping Luo; Wenming Zou

arxiv: 1609.00705 · v1 · pith:JKOTNRBZnew · submitted 2016-09-02 · 🧮 math.AP

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

Senping Luo , Juncheng Wei , Wenming Zou This is my paper

classification 🧮 math.AP

keywords equationlane-emdenstableclassificationclassifydeltafollowingfractional

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

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