Affiliation:
1. Henan University of Science and Technology
2. Central South University
Abstract
In this paper we study the following nonlinear Klein–Gordon–Maxwell
system
{
−
Δ
u
+
[
m
0
2
−
(
ω
+
φ
)
2
]
u
=
f
(
u
)
in
R
3
,
Δ
φ
=
(
ω
+
φ
)
u
in
R
3
,
where
0
<
ω
<
m
0
. Based on an abstract critical
point theorem established by Jeanjean, the existence of positive ground
state solutions is proved, when the nonlinear term
f
(
u
)
exhibits linear
near zero and a general critical growth near infinity. Compared with other
recent literature, some different arguments have been introduced and some
results are extended.
Cited by
1 articles.
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