Wanghe Yao, Xiaoli Chen, Jianfu Yang
Abstract:
In this article, we consider the regularity and symmetry of
positive solutions to the nonlinear integral system
for
,
where
is the kernel of
the operator
of order
,
with
,
,
and
We show that positive solution pairs
are locally Holder continuous in
,
radially symmetric about the origin, and strictly decreasing.
Submitted July 9, 2011. Published December 7, 2011.
Math Subject Classifications: 35J25, 47G30, 35B45, 35J70.
Key Words: L-infinity bounds; Holder continuous;
radial symmetry; fractional Laplacian.
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Wanghe Yao Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, China email: yaowanghe198610@sina.com | |
Xiaoli Chen Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, China email: littleli_chen@163.com | |
Jianfu Yang Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, China email: jfyang_2000@yahoo.com |
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