Affiliation:
1. Nanchang University, Nanchang, Jiangxi, P. R. China
Abstract
In this paper, we study the following quasilinear Schrödinger equation
−
Δ
u
+
V
(
x
)
u
−
κ
u
Δ
(
u
2
)
+
μ
h
2
(
|
x
|
)
|
x
|
2
(
1
+
κ
u
2
)
u
+
μ
(
∫
|
x
|
+
∞
h
(
s
)
s
(
2
+
κ
u
2
(
s
)
)
u
2
(
s
)
d
s
)
u
=
f
(
u
)
in
R
2
,
κ
>
0
V
∈
C
1
(
R
2
,
R
)
and
f
∈
C
(
R
,
R
)
By using a constraint minimization of Pohožaev–Nehari type and analytic techniques, we obtain the existence of ground state solutions.
Cited by
3 articles.
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