Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 153, pp. 1-13.
Title: Critical Neumann problem for nonlinear elliptic systems
in exterior domains
Authors: Shengbing Deng (Jiangxi Normal Univ., China)
Jianfu Yang (Jiangxi Normal Univ., China)
Abstract:
In this paper, we investigate the Neumann problem for a critical
elliptic system in exterior domains. Assuming
that the coefficient $Q(x)$ is a positive smooth function and
$\lambda$, $\mu\geq0$ are parameters, we examine the common effect
of the mean curvature of the boundary $\partial \Omega $ and the
shape of the graph of the coefficient $Q(x)$ on the existence of the
least energy solutions.
Submitted June 25, 2008. Published November 07, 2008.
Math Subject Classifications: 35J50, 35J60.
Key Words: Neumann problem; elliptic systems; exterior domains;
critical Sobolev exponent; least energy solutions.