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.