Affiliation:
1. TianGong University
2. Beijing Normal University
Abstract
In this paper we consider the following
Schrödinger–Kirchhoff–Poisson-type system
{
−
(
a
+
b
∫
Ω
|
∇
u
|
2
d
x
)
Δ
u
+
λ
ϕ
u
=
Q
(
x
)
|
u
|
p
−
2
u
in
Ω
,
−
Δ
ϕ
=
u
2
in
Ω
,
u
=
ϕ
=
0
on
∂
Ω
,
where
Ω
is a
bounded smooth domain of
R
3
,
a
>
0
,
b
≥
0
are constants
and
λ
is a positive parameter. Under suitable conditions on
Q
(
x
)
and combining the method of invariant sets of descending flow, we establish
the existence and multiplicity of sign-changing solutions to this problem
for the case that
2
<
p
<
4
as
λ
sufficient small. Furthermore,
for
λ
=
1
and the above assumptions on
Q
(
x
)
, we obtain the same
conclusions with
2
<
p
<
12
5
.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献