Special Session 10: Sharp inequalities and nonlinear differential equations

Concentration phenomena on radial solutions to semilinear elliptic equations with the Trudinger-Moser growth

Daisuke Naimen
Muroran Institute of Technology
Japan
Co-Author(s):    Daisuke Naimen
Abstract:
We study the asymptotic behaviour of radial solutions to semilinear elliptic equations with Trudinger-Moser critical nonlinearities. Via the blow-up analysis, we classify the concentration compactness behaviour of them. Three different behaviour; concentration with zero weak limit, concentration with nontrivial weak limit, and strong convergence, are observed. We also deduce the limit equation and energy of them.