Symmetry and nonexistence results for a fractional Choquard equation with weights
Symmetry and nonexistence results for a fractional Choquard equation with weights
Source title:
Discrete and Continuous Dynamical Systems, 41(2): 489-505,
2021
(ISI)
Academic year of acceptance:
2020-2021
Abstract:
Let u be a nonnegative solution to the equation
where n ≥ 2, 0 < α < 2, 0 < β < n and . By exploiting the method of scaling spheres and moving planes in integral forms, we show that u must be zero if
and must be radially symmetric about the origin if
.