Classification of the stable solution to the fractional 2<s<32<s<3 Lane-Emden equation

preprint2016arXivOpen access

Abstract

We classify the stable solutions (positive or sign-changing, radial or not) to the following nonlocal Lane-Emden equation: (−Δ)su=∣u∣p−1u(-Δ)^s u=|u|^{p-1}u in Rn\mathbb{R}^n for 2<s<32<s<3.

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