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The Scientific World Journal
Volume 2013, Article ID 278013, 8 pages
Research Article

Multiple Solutions for a Singular Quasilinear Elliptic System

1College of Science, Hohai University, Nanjing 210098, China
2College of Mathematics and Statistics, Yili Normal University, Yining 835000, China
3Science and Information College, Qingdao Agricultural University, Qingdao 266109, China

Received 12 August 2013; Accepted 5 September 2013

Academic Editors: F. Khani and H. Xu

Copyright © 2013 Lin Chen et al. 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 consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system , , , , , where , , , , , . The functions , , , , , , and satisfy some suitable conditions. We will prove that the problem has at least two nontrivial solutions by using Mountain Pass Theorem and Ekeland's variational principle.