Boundary Value Problems
Volume 2009 (2009), Article ID 865408, 11 pages
doi:10.1155/2009/865408
Research Article

Infinitely Many Solutions of Strongly Indefinite Semilinear Elliptic Systems

Kuan-Ju Chen

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.

Abstract

We proved a multiplicity result for strongly indefinite semilinear elliptic systems −Δu+u=±1/(1+|x|a)|v|p−2v in ℝN, −Δv+v=±1/(1+|x|b)|u|q−2u in ℝN where a and b are positive numbers which are in the range we shall specify later.