Jian Wang, Xin Wei
Abstract:
The main goal of this article is to investigate the existence
of solutions for the Hardy-Sobolev-Maz'ya system
where
which is a bounded, open and smooth subset of
,
.
The non-existence of classical positive solutions is
obtained by a variational identity and the existence result
by a linking theorem.
Submitted December 26, 2011. Published July 5, 2012.
Math Subject Classifications: 35J47, 35J50, 35J57, 58E05.
Key Words: Variational identity; (PS) condition; linking theorem;
Hardy-Sobolev-Maz'ya inequality.
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Jian Wang Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, China email: jianwang2007@126.com | |
Xin Wei Department of Finance, Jiangxi Normal University Nanchang, Jiangxi 330022, China email: wxgrat@sohu.com |
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