Fractional Trudinger-Moser type inequalities in one dimension

DOI10.1007/s40840-020-01023-5zbMath1462.35016OpenAlexW3087193899MaRDI QIDQ2021604

Duy Tuan Nguyen, Triet Anh Nguyen

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01023-5

zbMATH Keywords

unbounded domainscritical growthsharp constantsTrudinger-Moser inequalityextremal functionfractional Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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