Journal article
Symmetry and monotonicity of integral equation systems
Nonlinear analysis: real world applications, Vol.12(6), pp.3515-3530
2011
DOI: 10.1016/j.nonrwa.2011.06.012
Abstract
In this paper, we investigate positive solutions of the following integral equation system
{
u
(
x
)
=
∫
R
n
|
x
−
y
|
α
−
n
u
a
(
y
)
v
b
(
y
)
d
y
,
v
(
x
)
=
∫
R
n
|
x
−
y
|
β
−
n
|
u
c
(
y
)
v
d
(
y
)
d
y
where
a
,
b
,
c
,
d
,
α
,
β
are constants. The symmetry and monotonicity of its solutions are proved by the method of moving planes, the non-existence and the exact form are given by the method of moving spheres.
Details
- Title: Subtitle
- Symmetry and monotonicity of integral equation systems
- Creators
- Xiaotao Huang - Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR ChinaDongsheng Li - College of Science, Xi’an Jiaotong University, Xi’an 710049, PR ChinaLihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Nonlinear analysis: real world applications, Vol.12(6), pp.3515-3530
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.nonrwa.2011.06.012
- ISSN
- 1468-1218
- eISSN
- 1878-5719
- Language
- English
- Date published
- 2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984083994302771
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