Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 81, pp. 1-14.

Title: Concentration and dynamic system of solutions for semilinear
       elliptic equations

Author: Tsung-fang Wu (Southern Taiwan Univ. of Technology, Taiwan)

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.