Author:
Jing Yongtao,Liu Haidong,Zhang Zhitao
Abstract
Abstract
We study quasilinear elliptic equations of the form
−
div
A
(
u
)
∇
u
+
1
2
A
′
(
u
)
|
∇
u
|
2
+
V
(
x
)
u
=
h
(
u
)
,
u
∈
H
1
(
R
N
)
, where
N
⩾
3
,
A
∈
C
1
(
R
,
R
+
)
is a bounded function, V(x) is allowed to be singular at the origin, and
h
∈
C
(
R
,
R
)
is a general nonlinearity. Such type of equations has been derived as models of several physical phenomena corresponding to various types of
A
. Despite the lack of a priori compactness condition for the energy functional, we develop a new variational approach to deal with the issues of multiple radial solutions, nonradial solutions and sign-changing solutions.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Zhejiang Province
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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