Electron. J. Diff. Eqns., Vol. 2008(2008), No. 153, pp. 1-13.

Critical Neumann problem for nonlinear elliptic systems in exterior domains

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 $Q(x)$ 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 7, 2008.
Math Subject Classifications: 35J50, 35J60.
Key Words: Neumann problem; elliptic systems; exterior domains; critical Sobolev exponent; least energy solutions.

Show me the PDF file (249 KB), TEX file, and other files for this article.

  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

Return to the EJDE web page