Affiliation:
1. Jiangxi Technical College of Manufacturing
Abstract
In this paper, we study the existence of positive solutions for the
following generalized quasilinear Schrödinger equation
−
div
(
g
p
(
u
)
|
∇
u
|
p
−
2
∇
u
)
+
g
p
−
1
(
u
)
g
′
(
u
)
|
∇
u
|
p
+
V
(
x
)
|
u
|
p
−
2
u
=
K
(
x
)
f
(
u
)
+
Q
(
x
)
g
(
u
)
|
G
(
u
)
|
p
∗
−
2
G
(
u
)
,
x
∈
R
N
,
where
N
≥
3
,
1
<
p
≤
N
,
p
∗
=
N
p
N
−
p
,
g
∈
C
1
(
R
,
R
+
)
,
V
(
x
)
and
K
(
x
)
are positive continuous functions and
G
(
u
)
=
∫
0
u
g
(
t
)
d
t
. By using a change of variable, we obtain the existence of positive solutions for this problem by using the Mountain Pass Theorem. Our results generalize some existing results.
Cited by
1 articles.
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