TITLE:
Symmetry and Monotonicity of Positive Solutions for a Class of Choquard Equation with Hardy Potential
AUTHORS:
Ying Cai
KEYWORDS:
Choquad Equation, Hardy Potential, Positive Solutions, Moving Plane Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.3,
March
25,
2025
ABSTRACT: In this paper, a class of Choquard equation with Hardy potential in the whole space
ℝ
N
will be considered, where the parameters
p
,
q
and
α
in the convolution-nonlinearity term are under a suitable range. Without the hypothesis of pointwise decay estimates for solutions, the symmetry of positive solutions in
D
1,2
(
ℝ
N
)∩C(
ℝ
N
\{ 0 }
)
to such an equation is obtained via some subtle integral estimates and moving plane techniques.