On the fractional Lane-Emden equation

Juan Dávila (1) , Louis Dupaigne (2, 3, 4) , Juncheng Wei (5)

1 DIM - Departamento de Ingeniería Matemática [Santiago]
2 EDPA - Équations aux dérivées partielles, analyse
3 ICJ - Institut Camille Jordan
4 UCBL - Université Claude Bernard Lyon 1
5 UBC - University of British Columbia

We classify solutions of finite Morse index of the fractional Lane-Emden equation (−∆) s u = |u| p−1 u in R n .

Domaines: Equations aux dérivées partielles [math.AP]

Juan Dávila, Louis Dupaigne, Juncheng Wei. On the fractional Lane-Emden equation. Transactions of the American Mathematical Society, 2016, 369 (9), pp.6087-6104. ⟨10.1090/tran/6872⟩. ⟨hal-01283992⟩