Extremals for fractional Moser-Trudinger inequalities in dimension 1 via\n harmonic extensions and commutator estimates

2019/04/23 by Gabriele Mancini, Luca Martinazzi, Mancini, Gabriele +1
Engineering · Mathematics · #35B44 #35J08 #35J61 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in engineering #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1904.10267

openalex publication_date 2019/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the existence of extremals for fractional Moser-Trudinger\ninequalities in an interval and on the whole real line. In both cases we use\nblow-up analysis for the corresponding Euler-Lagrange equation, which requires\nnew sharp estimates obtained via commutator techniques.\n

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