| Abstract: |
| In this talk, we consider asymptotic behavior of critical points for the Trudinger-Moser functional. We derive several properties of the critical points both for large scale parameter and for small scale parameter. In particular, we prove that asymptotic behavior of maximizers depends on the exponent in the Trudinger-Moser functional. If the exponent is close to the critical exponent, then sequence of maximizers concentrates at one point, while if the exponent is small, then the limit of sequence of maximizers vanishes. |
|