Affiliation:
1. Faculty of Fundamental Science Hanoi University of Industry Hanoi Vietnam
2. School of Applied Mathematics and Informatics Hanoi University of Science and Technology Hanoi Vietnam
Abstract
In this paper, we study the following fractional Choquard equation with weight
where
and
is a positive weight function satisfying
at infinity, for some
. We establish, in this paper, a Liouville type theorem saying that if
then the above equation has no nontrivial stable solution. Our result, in particular, extends the result in [Le, Phuong. Bull. Aust. Math. Soc. 102 (2020), no. 3, 471–478.] from the Laplace operator to the fractional Laplacian.
Funder
National Foundation for Science and Technology Development
Subject
General Engineering,General Mathematics