Electron. J. Diff. Eqns., Vol. 2003(2003), No. 81, pp. 1-14.

Concentration and dynamic system of solutions for semilinear elliptic equations

Tsung-fang Wu

Abstract:
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
email: tfwu@mail.stut.edu.tw

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