A Note on Fractional Sobolev inequalities revisited

In this paper, we extend the analysis of homogeneous fractional Sobolev inequalities in the paper by A.D. Nguyen, J. I. Dıaz, and Q.-H. Nguyen (2020). We combine their subcritical proof with the first author's adaptation to the supercritical case to provide a short interpolation-based proof for the critical case.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.03185
Primary Topic
Nonlinear Partial Differential Equations
Type
preprint
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preprint

A Note on Fractional Sobolev inequalities revisited

Giovanni Leoni, Asher Wheaton
arXiv (Cornell University)
Nonlinear Partial Differential Equations
preprint

A Note on Fractional Sobolev inequalities revisited

Giovanni Leoni, Asher Wheaton
preprint en

Abstract

In this paper, we extend the analysis of homogeneous fractional Sobolev inequalities in the paper by A.D. Nguyen, J. I. Dıaz, and Q.-H. Nguyen (2020). We combine their subcritical proof with the first author's adaptation to the supercritical case to provide a short interpolation-based proof for the critical case.

arXiv (Cornell University)
Nonlinear Partial Differential Equations
DOIOpen Access PDFOpenAlex
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A Note on Fractional Sobolev inequalities revisited — Giovanni Leoni, Asher Wheaton · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS