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Multi-bump solutions to Kirchhoff type equations with exponential critical growth in R2
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Journal Article
Multi-bump solutions to Kirchhoff type equations with exponential critical growth in R2
2024
Overview
In this paper, we study multi-bump solutions of the following Kirchhoff type equation:
-
M
∫
R
2
|
∇
u
|
2
d
x
Δ
u
+
μ
V
(
x
)
+
h
(
x
)
u
=
λ
f
(
u
)
in
R
2
,
where
M
is continuous with
inf
R
+
M
>
0
,
V
≥
0
and its zero set has several disjoint bounded components,
μ
,
λ
are positive parameters,
f
has exponential critical growth. When
V
decays to zero at infinity, we use variational methods to obtain the existence and concentration behavior of multi-bump solutions.
Publisher
Springer International Publishing,Springer Nature B.V
