A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces\n in dimension one

2016/10/04 by Stefano Iula, Iula, Stefano
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1610.00933

openalex publication_date 2016/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss some recent results by Parini and Ruf on a Moser-Trudinger type\ninequality in the setting of Sobolev-Slobodeckij spaces in dimension one. We\npush further their analysis considering the inequality on the whole\n\ℝ and we give an answer to one of their open questions.\n

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