38 research outputs found
On finite Morse index solutions of higher order fractional Lane-Emden equations
We classify finite Morse index solutions of the fractional Lane-Emden
equation for . For the
local case, and this classification was done by Farina in [10] and
Davila, Dupaigne, Wang and Wei in [8], respectively. Moreover, for the nonlocal
case, , finite Morse index solutions are classified by Davila, Dupaigne
and Wei in [7].Comment: To appear in American Journal of Math. 19 page