Affiliation:
1. Chongqing Technology and Business University
Abstract
In this article, we study the following degenerated Schrödinger equations:
{
−
Δ
γ
u
+
λ
V
(
x
)
u
=
f
(
x
,
u
)
in
R
N
,
u
∈
E
λ
,
where
λ
>
0
is a parameter,
Δ
γ
is a degenerate elliptic operator, the potential
V
(
x
)
has a potential well with bottom and the nonlinearity
f
(
x
,
u
)
is either super-linear or sub-linear at infinity in
u
. The existence of ground state solution be obtained by using the variational methods.