Asymptotic behavior of positive solutions for nonlinear elliptic systems with critical exponents

Abstract

In this article, we study the asymptotic behavior of positive solutions of some systems of elliptic equations with critical nonlinearities. The solutions are shown to blow up at exactly one point. The exact rate and location of blowing up are also given.

Keywords:

• Elliptic system
• Green’s function
• Asymptotic behavior
• Critical exponent

Keywords:

• 2000 Mathematics Subject Classifications: 35J55
• 35B33