Abstract
We study the following generalized quasilinear Schrödinger equation:
-
(
g
2
(
u
)
∇
u
)
+
g
(
u
)
g
′
(
u
)
|
∇
u
|
2
+
V
(
x
)
u
=
h
(
u
)
,
x
∈
ℝ
N
,
-(g^{2}(u)\nabla u)+g(u)g^{\prime}(u)|\nabla u|^{2}+V(x)u=h(u),\quad x\in% \mathbb{R}^{N},
where
N
≥
3
{N\geq 3}
,
g
:
ℝ
→
ℝ
+
{g\c...
