Concentration and dynamic system of solutions for semilinear elliptic equations

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.

Keywords

• Palais-Smale
• concentration
• dynamic system
• multiple solutions.