In this article, we use the concentration of solutions of the semilinear elliptic equations in axially symmetric bounded domains to prove that the equation has three positive solutions. One solution is y-symmetric and the other are non-axially symmetric. We are also study the dynamic system of these solutions.
Submitted June 23, 2003. Published August 7, 2003.
Math Subject Classifications: 35J20, 35J25, 35J60.
Key Words: Palais-Smale, concentration, dynamic system, multiple solutions.
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| Tsung-fang Wu |
Center for General Education
Southern Taiwan University of Technology, Taiwan
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