Extremals for Fractional Moser-Trudinger Inequalities in Dimension 1 via Harmonic Extensions and Commutator Estimates
01 Pubblicazione su rivista
Mancini G., Martinazzi L.
ISSN: 1536-1365
We prove the existence of extremals for fractional Moser-Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler-Lagrange equation, which requires new sharp estimates obtained via commutator techniques.