Lei Wei, Xiyou Cheng, Zhaosheng Feng
Abstract:
In this article, we study a class of elliptic systems with Hardy potentials.
We analyze the possible behavior of radial solutions to the system when
,
and
,
and obtain the existence of positive solutions to the system with the
Dirichlet boundary condition under certain conditions.
When
,
p,t>1
and
q,s>0,
we show that any radial
positive solution is decreasing in r.
Submitted January 12, 2016. Published August 17, 2016.
Math Subject Classifications: 35B40, 35J25.
Key Words: Elliptic system; Hardy potential; existence; positive solution;
blow up.
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Lei Wei School of Mathematics and Statistics Jiangsu Normal University Xuzhou 221116, China email: wlxznu@163.com | |
Xiyou Cheng School of Mathematics and Statistics Lanzhou University Lanzhou 730000, China email: chengxy@lzu.edu.cn | |
Zhaosheng Feng Department of Mathematics University of Texas-Rio Grande Valley Edinburg, TX 78539, USA email: zhaosheng.feng@utrgv.edu |
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