Abstract

We reprove the existence of extremals for the critical Trudinger-Moser inequality on a smooth bounded domain of R2 via the method of energy estimate, which was recently developed by Malchiodi-Martinazzi [11], Mancini-Martinazzi [12] and Mancini-Thizy [13]. For this purpose, unlike [12,13], it suffices to calculate local energy of maximizers for subcritical Trudinger-Moser functionals near the blow-up point.

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