| Abstract: |
| We will explain how recent results on the blow-up analysis of the critical Moser-Trudinger equation in dimension 2 allow
1) to prove that the Adimurthi-Druet inequality may have no extremals,
2) to understand almost thoroughly the existence (or not) of extremals for a general class of perturbed Moser-Trudinger inequalities,
3) to get general existence results of solutions for the Moser-Trudinger equation itself, even at supercritical energy levels. |
|