Abstract and Applied Analysis
Volume 2013 (2013), Article ID 746380, 13 pages
http://dx.doi.org/10.1155/2013/746380
Research Article

Multiplicity of Positive Solutions for Semilinear Elliptic Systems

Tsing-San Hsu

Department of Natural Sciences in the Center for General Education, Chang Gung University, Tao-Yuan 333, Taiwan

Received 15 November 2012; Accepted 5 March 2013

Academic Editor: Gabriella Tarantello

Copyright © 2013 Tsing-San Hsu. 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 study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive solutions of the semilinear elliptic systems , , where is a bounded domain, , , and for .