Boundary Value Problems
Volume 2009 (2009), Article ID 865408, 11 pages
Research Article

Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems

Department of Applied Science, Naval Academy, P.O. Box 90175, Zuoying, Kaohsiung 8/303, Taiwan

Received 16 December 2008; Accepted 6 July 2009

Academic Editor: Wenming Zou

Copyright © 2009 Kuan-Ju Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We proved a multiplicity result for strongly indefinite semilinear elliptic systems Δu+u=±1/(1+|x|a)|v|p2v in N, Δv+v=±1/(1+|x|b)|u|q2u in N where a and b are positive numbers which are in the range we shall specify later.