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

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 $2<s<3$.

43 pages;comments are welcome. arXiv admin note: text overlap with arXiv:1607.04719

References in corpus (2)

• On higher order extensions for the fractional Laplacian
• On the triharmonic Lane-Emden equation