Abstract
In this article, we consider the uniqueness of positive radial solutions to the Dirichlet boundary value problem
Δ
u
+
f
(
|
x
|
,
u
)
+
g
(
|
x
|
)
x
⋅
∇
u
=
0
,
x
∈
Ω
,
u
=
0
,
x
∈
∂
Ω
,
where Ω denotes an annulus in ℝ
n
(
n
≥ 3). The uniqueness criterion is established by applying shooting method.