Liouville theorem and classification of positive solutions for a fractional Choquard type equation
Liouville theorem and classification of positive solutions for a fractional Choquard type equation
Source title:
Nonlinear Analysis, 185: 123-141,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
Let 
and 
. We prove that the equation 
in 
has no positive solution if 
. We also classify all positive solutions to the equation in the critical case 
.