Special Session 33: 

Positive solutions of weakly coupled systems with critical growth in dimension two

Jianjun Zhang
Chongqing Jiaotong University
Peoples Rep of China
Co-Author(s):    Daniele Cassani, Hugo Tavares
Abstract:
In this talk, we are concerned with positive vector solutions of Bose-Einstein type systems in dimension two. The interaction is of critical exponential type in the sense of Moser. We prove, using variational methods, the existence of positive vector ground state solutions both in the attractive and repulsive cases. This talk is based on joint work with Daniele Cassani and Hugo Tavares.