Special Session 76: 

Concentration compactness phenomena on nodal radial solutions of semilinear elliptic equations with the Trudinger-Moser growth

Daisuke Naimen
Muroran Institute of Technology
Japan
Co-Author(s):    
Abstract:
We consider any energy bounded nodal radial solutions of critical elliptic problems in dimension $2$. Via the blow-up analysis, we classify the concentration compactness behaviour of them. Depending on the limit values of the parameters, we have three different behaviour: concentration with zero weak limit, concentration with nontrivial weak limit and compactness. The limit equation, the energy value and the blow--up rate of each concentration part are also obtained.