# On the fractional Lane-Emden equation

@article{Dupaigne2014OnTF,
title={On the fractional Lane-Emden equation},
author={Louis Dupaigne and Juan D{\'a}vila and Juncheng Wei},
journal={Transactions of the American Mathematical Society},
year={2014},
volume={369},
pages={6087-6104}
}
• Published 14 April 2014
• Mathematics
• Transactions of the American Mathematical Society
We classify solutions of finite Morse index of the fractional Lane-Emden equation (−∆) s u = |u| p−1 u in R n .
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