| Abstract: |
| It is well known that the original Trudinger-Moser inequality has an extremal in the subcritical case. In this talk, we consider the asymptotic behavior of critical points for the Trudinger-Moser functional in the case where the exponent is sufficiently small. We obtain that sequences of critical points converge to some solution of an elliptic equation. In addition, using this result, we obtain the uniqueness of critical point. |
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