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arXiv · 1904.10267

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

Gabriele Mancini·Luca Martinazzi
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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.

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Gabriele Mancini, Luca Martinazzi. 2019-04-23. Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates. https://arxiv.org/abs/1904.10267

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