Liouville Theorems for an Integral Equation of Choquard Type
Liouville Theorems for an Integral Equation of Choquard Type
Source title:
Communications On Pure and Applied Analysis, 19(2): 771-783,
2020
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
We establish sharp Liouville theorems for the integral equation
where 0 < α, β < n and p > 1. Our results hold true for positive solutions under appropriate assumptions on p and integrability of the solutions. As a consequence, we derive a Liouville theorem for positive solutions of the higher fractional order Choquard type equation