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.
Extremals for Fractional Moser-Trudinger Inequalities in Dimension 1 via Harmonic Extensions and Commutator Estimates / Mancini, G.; Martinazzi, L.. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - 20:3(2020), pp. 599-632. [10.1515/ans-2020-2089]
Extremals for Fractional Moser-Trudinger Inequalities in Dimension 1 via Harmonic Extensions and Commutator Estimates
Mancini G.
;Martinazzi L.
2020
Abstract
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.File allegati a questo prodotto
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