Affiliation:
1. Anhui University of Finance and Economics
2. University of Shanghai for Science and Technology
Abstract
This paper is concerned with the following quasilinear Schrödinger equations of the form:
−
Δ
u
−
u
Δ
(
u
2
)
+
u
=
|
u
|
p
−
2
u
,
x
∈
R
3
,
where
p
∈
(
2
,
12
)
. By making use of the constrained minimization method on a special manifold, we prove that the existence of positive radial solutions of the above problem for any
p
∈
(
2
,
12
)
.