Shengbing Deng, Jianfu Yang
Abstract:
In this paper, we investigate the Neumann problem for a critical
elliptic system in exterior domains. Assuming
that the coefficient
is a positive smooth function and
,
are parameters, we examine the common effect
of the mean curvature of the boundary
and the
shape of the graph of the coefficient
on the existence of the
least energy solutions.
Submitted June 25, 2008. Published November 7, 2008.
Math Subject Classifications: 35J50, 35J60.
Key Words: Neumann problem; elliptic systems; exterior domains;
critical Sobolev exponent; least energy solutions.
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Shengbing Deng Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, China email: shbdeng@yahoo.com.cn | |
Jianfu Yang Department of Mathematics, Jiangxi Normal University Nanchang, Jiangxi 330022, China email: jfyang_2000@yahoo.com |
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